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Question

In covering a distance of 72 km, Amit takes 5 hours more than Vinay. If Amit doubles his speed, then he would take 7 hours less than Vinay. Amit's speed is:

The correct answer is

3 km/h

Let the speed of Amit be x km/h. Then, the time taken by Amit to cover the distance is 72/x hours. Let the speed of Vinay be y km/h, so the time taken by Vinay is 72/y hours. According to the given conditions, we get the equations: 1) 72/x = 72/y + 5 2) 72/(2x) = 72/y - 7. Solving these equations, we find that x = 3 km/h.

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Important Questions from Speed Time and Distance

  1. A journey of 900 km is completed in 11 h. If two-fifth of the journey is completed at the speed of 60 km/h, at what speed (in km/h) is the remaining journey completed?

  2. A car starts from point A towards point B, travelling at the speed of 20 km/h. 1 \(\frac{1}{2}\) hours later, another car starts from point A and travelling at the speed of 30 km/h and reaches 2 \(\frac{1}{2}\) hours before the first car. Find the distance between A and B.

  3. A bus covered a distance of 162 km. If speed of this bus is 15 m/s, then what will be the time taken ?

  4. An athlete runs an 800 m race in 96 seconds. His speed (in km / h) is:

  5. A person has to cover a distance of 150 km in 15 hours. If he traveled with the speed of 11.8 km/hr for 10 hours. At what speed he has to travel to cover the remaining distance in the remaining time?

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