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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. Daksh travels 200 km at 50 km/hr, the next 252 km at 42 km/hr and the next 204 km at 51 km/hr. What is his average speed (in km/hr) for the whole journey? (Round off your answer to two decimal places)
  2. A bus travelling at 66 km/hr completes a journey in 15 hours. What should be its speed to cover the same distance in 5 hours?
  3. Train A leaves station M at 8:00 a.m. and reaches station N at 3:00 p.m. on the same day. Train B leaves station N at 10:00 a.m. and reaches station M at 3:00 p.m. on the same day. Find the time when Trains A and B meet.
  4. A bus travelling at 95 km/hr completes a journey in 10 hours. What should be in its speed to cover the same distance in 5 hours?
  5. Rishi travels 198 km at 66 km/hr, the next 584 km at 73 km/hr and the next 656 km at 82 km/hr. What is his average speed (in km/hr) for the whole journey? (Round off your answer to two decimal places)

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