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1. To travel 720 km, a Express train takes 6 hours more than Duronto. If however, the speed of the Express train is doubled, it takes 2 hours less than Duronto. The speed of Duronto (in km/hr) is?
Answer & Solution
Let the speed of Duronto be ‘x’ km/hr
Time taken by Duronto to travel 720 km = 720/x hrs.
Let the initial speed of Express train be ‘y’ km/hr
Time taken by Express train to travel 720 km = 720/y hrs.
∵ Express train takes 6 hours more than Duronto,
⇒ 720/y = 6 + 720/x ----(1)
When the speed of Express train is doubled, it takes 2 hours less than Duronto,
⇒ 720/2y = 720/x – 2
⇒ 720/y = 1440/x – 4
Substituting from (1),
⇒ 6 + 720/x = 1440/x – 4
⇒ 6 + 4 = 1440/x – 720/x
⇒ 10 = 720/x
⇒ x = 720/10 = 72 km/hr
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To travel 720 km, a Express train takes 6 hours more than Duronto. If however, the speed of the Express train is doubled, it takes 2 hours less than Duronto. The speed of Duronto (in km/hr) is?
A man walks at a speed of 3 kmph. He doubles his speed after reaching exactly half way. He walks for 5 hours in all. What is the total distance travelled by him?
Let total distance be 2D .
He walks half distance i.e, (2D/2) = 'D' distance with 3 kmph and
The next 'D' with 6 kmph.
Using formula,
Time = Distance/speed
(D/3) + (D/6) = 5
Hence, Total distance 2D = 20 kms.
View Answer Report Error Discuss Filed Under: Time and Distance Exam Prep: Bank Exams
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A person driving at the speed of 45 kmph reaches office 1 minute early while she reaches 3 minutes late if driving 40 kmoh. What is the distance (in Km) that she is covering?
Difference in time taken = 4min = 1/15 hr
Let the total distance covered by person be D km .
⇒ D/40 – D/45 = 1/15
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⇒ D = 24 km
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To travel 720 km, an Express train takes 6 hours more than Duront
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Right Answer is: B
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To travel 720 km, a Express train takes 6 h more thanDuronto. If however,the speed of the Express train is doubled, it takes 2 h less than Duronto.The speed of Duronto is
More from this Exercise
To solve the problem, we need to set up equations based on the information given about the Express train and the Duronto train. Step 1: Define Variables Let: - D = time taken by Duronto (in hours) - E = time taken by Express train (in hours) - S = speed of Duronto (in km/h) Step 2: Set Up the Equations From the problem, we know: 1. The distance traveled by both trains is 720 km. 2. The Express train takes 6 hours more than Duronto: E = D + 6 3. If the speed of the Express train is doubled, it takes 2 hours less than Duronto: 720 2 S = D − 2 Step 3: Express Speed in Terms of Time The speed of the Duronto can be expressed as: S = 720 D The speed of the Express train is: Speed of Express = 720 E = 720 D + 6 Step 4: Substitute the Speed of Duronto Now, substituting S into the second equation: 720 2 ⋅ 720 D + 6 = D − 2 Simplifying this gives: 720 D + 4320 1440 = D − 2 Cross-multiplying: 720 D + 4320 = 1440 ( D − 2 ) Expanding: 720 D + 4320 = 1440 D − 2880 Step 5: Rearranging the Equation Rearranging gives: 720 D + 4320 + 2880 = 1440 D 10100 = 720 D D = 10100 720 ≈ 14.03 hours Step 6: Calculate Speed of Duronto Now substituting back to find the speed of Duronto: S = 720 D = 720 14.03 ≈ 51.3 km/h Final Answer The speed of Duronto is approximately 51.3 km/h . ---
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Average Speed Calculator
Use this speed calculator to easily calculate the average speed of a vehicle: car, bus, train, bike, motorcycle, plane etc. with a given distance and travel time. Returns miles per hour, km per hour, meters per second, etc.
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Average Speed formula
The average speed calculation is simple: given the distance travelled and the time it took to cover that distance, you can calculate your speed using this formula:
Speed = Distance / Time
The metric unit of the result will depend on the units you put in. For example, if you measured distance in meters and time in seconds, your output from the average speed calculator would be ft/s. If distance was measured in miles and time in hours, then output will be in miles per hour (mph, mi/h), and so on for km/h, m/s, etc. - all supported by our tool.
How to calculate the average speed of a car?
Let us say that you travelled a certain distance with your car and want to calculate its average speed. The easiest way to do that would be by using the speed calculator above, but if you prefer, you can also do the math yourself. Either way, one needs to know the distance. If you have noted the distance on your odometer then you can use that number. Other options are to use a map (e.g. Google Maps) and measure the distance travelled based on your actual path (not via a straight line, unless you travelled by air in which case that would be a good approximation), or to use a GPS reading if you used navigation during the whole trip. Then you need to know the travel time. Make sure to subtract any rests or stops made from the total trip duration.
As you can see, to work out your speed in km/h or mph just apply the speed formula with the relevant units for distance and time. This is how to calculate average speed of a car, bike, boat, or any other vehicle or object.
Finding average speed examples
Example 1: Using the equation above, find the speed of a train which travelled 120 miles in 2 hours and 10 minutes while making four stops, each lasting approximately 2.5 minutes. First, subtract the time spent at the train stops: 2.5 x 4 = 10 minutes. 2:10 minus 10 minutes leaves 2 hours of travel time. Then, apply the avg speed formula to get 120 miles / 2 hours = 60 mph (miles per hour).
Example 2: A cyclist travels to and from work, covering 10 km each way. It took him 25 minutes on the way to work and 35 minutes on the way back. What is the cyclist's average speed? First, add up the time to get 1 hour total. Also add up the distance: 5 + 5 = 10 kilometers. Finally, replace in the formula to get 10 / 1 = 10 km/h (kilometers per hour) on average in total.
Average speed vs Average velocity
Average speed (what this calculator computes) and average velocity are not necessarily the same thing though they may coincide in certain scenarios. This is basic physics, but a lot of people find it confusing. Here are the differences in short.
Speed is a scalar value whereas velocity is the magnitude of a vector. Speed does not indicate direction whereas velocity does. The two coincide only when the journey from the start point to the end point happens on a straight line, such as in a drag race. If the movement path is not a straight line then the average velocity will be smaller than the mean speed.
Cite this calculator & page
If you'd like to cite this online calculator resource and information as provided on the page, you can use the following citation: Georgiev G.Z., "Average Speed Calculator" , [online] Available at: https://www.gigacalculator.com/calculators/average-speed-calculator.php URL [Accessed Date: 27 Sep, 2024].
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20673/SCSMT Kolhapur - Pune Vande Bharat Express श्री छत्रपति शाहू महाराज टर्मिनस कोल्हापुर - पुणे वन्दे भारत एक्सप्रेस
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Time taken by Duronto to travel 720 km = 720/x hrs. Let the initial speed of Express train be 'y' km/hr. Time taken by Express train to travel 720 km = 720/y hrs. ∵ Express train takes 6 hours more than Duronto, ⇒ 720/y = 6 + 720/x ----(1) When the speed of Express train is doubled, it takes 2 hours less than Duronto, ⇒ 720/2y = 720/x ...
Given Distance 720km Express train takes 6 hour more than Duranto and if speed of Express train is doubled it takes 2 hour less than Duronto Let the speed ofExpress train bex Speed of Durontoy According to the formula TimeDistanceSpeed Then according to the question 720x720y6 i 720y7202x2 ii By solving both the equations we get x45andy72kmh ...
To travel 720 km, a Express train takes 6 hr more than Duronto. If however, the speed of the Express train is doubled. If however, the speed of the Express train is doubled. It takes 2 hr less than Duronto.
To travel 720 k m, an Express train takes 6 hours more than Duronto. However, if the speed of the Express train is doubled, it takes 2 h less than Duronto. The speed of Duronto is: (a) 78 k m / h
To travel 720 km, a Express train takes 6 h more thanDuronto. If however,the speed of the Express train is doubled, it takes 2 h less than Duronto.The speed ...
The speed of duronto is 72 km/h. Step-by-step explanation: Let x be the speed of express train and y be the speed of duronto, Since, Time = Distance / Speed, Given, To travel 720 km, a express train takes 6 hours more than duronto. Let, 720/x = A and 720/y = B,, Now, if the speed of the express train is doubled, it takes 2 hours less than duronto.
Step by step video solution for To travel 720 km, a Express train takes 6 h more thanDuronto. If however,the speed of the Express train is doubled, it takes 2 h less than Duronto.The speed of Duronto is by Maths experts to help you in doubts & scoring excellent marks in Class 14 exams.
To travel 720 km, a Express train takes 6 hours more than Duronto. If however, the speed of the Express train is doubled, it takes 2 hours less than - 18900911. sahilsajar9491 sahilsajar9491 29.06.2020 Math Secondary School answered
VIDEO ANSWER: The slow train is 12 miles per hour slower and takes an hour longer than the express train, but they are both going over 200 miles. The distance is the same as the rate times time. The express train has a rate of minus 12 times, while
Time taken by Duronto to travel 720 km = 720/x hrs. Let the initial speed of Express train be 'y' km/hr. Time taken by Express train to travel 720 km = 720/y hrs. ∵ Express train takes 6 hours more than Duronto, ⇒ 720/y = 6 + 720/x ----(1) When the speed of Express train is doubled, it takes 2 hours less than Duronto, ⇒ 720/2y = 720/x ...
To solve for distance use the formula for distance d = st, or distance equals speed times time. distance = speed x time. Rate and speed are similar since they both represent some distance per unit time like miles per hour or kilometers per hour. If rate r is the same as speed s, r = s = d/t. You can use the equivalent formula d = rt which means ...
3 982. Time and Distance Questions & Answers for Bank Exams : To travel 720 km, a Express train takes 6 hours more than Duronto. If however, the speed of the Express train is doubled, it takes 2 hours less than&n.
To travel 720 km, an Express train takes 6 hours more than Duronto. If, however, the speed of the Express train is doubled, it takes 2 hours less than Duronto. Grade
Exercise 9.4.4. Two drivers are testing the same model car at speeds that differ by 20 km/hr. The one driving at the slower rate drives 70 kilometers down a speedway and returns by the same route. The one driving at the faster rate drives 76 kilometers down the speedway and returns by the same route. Both drivers leave at the same time, and the ...
Time taken by Duronto to travel 720 km = 720/x hrs. Let the initial speed of Express train be 'y' km/hr. Time taken by Express train to travel 720 km = 720/y hrs.? Express train takes 6 hours more than Duronto, ⇒ 720/y = 6 + 720/x ----(1) When the speed of Express train is doubled, it takes 2 hours less than Duronto, ⇒ 720/2y = 720/x - 2
An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11km h more than that of the passenger train, find the average speed of the two trains.
VIDEO ANSWER: Even Massu inserts at the option as the biceps break. There is a city called tubarao. I'm talking about action. There is a reflection of elbow an…
First, subtract the time spent at the train stops: 2.5 x 4 = 10 minutes. 2:10 minus 10 minutes leaves 2 hours of travel time. Then, apply the avg speed formula to get 120 miles / 2 hours = 60 mph (miles per hour). Example 2: A cyclist travels to and from work, covering 10 km each way.
Book your Amtrak train and bus tickets today by choosing from over 30 U.S. train routes and 500 destinations in North America. skip to Content ... Download the Amtrak app to check train status, get gate and track information at select stations, travel with contact-free eTicket scanning and access helpful information at your fingertips. GET THE APP.
Duronto Train. Rake maintained by SER/South Eastern Railway Zone. Coach Position/Composition: ENG DL1 S1 S2 S3 S4 S5 S6 S7 S8 S9 S10 S11 PC B1 B2 B3 B4 B5 B6 A1 H1 EOG HCPV. Rake Sharing Arrangement: 3 Dedicated Rakes. PM - SRC!#!Tue Nov 16, 2021 (04:01PM). Travel Distance: 1923 km. Shortest Rail Distance: 1913 km. Journey Time: 28h 51m. -2 Halts. Departs Sun,Tue,Wed,Fri,Sat from Howrah ...
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The APM system is designed to provide reliable, fast, and seamless connectivity between Terminal 1 and Terminals 2 and 3, covering a route length of approximately 7.7 km through Aerocity and Cargo ...
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