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Question

Aryan has to reach Ahmedabad which is 889 km away in 17 hours. His starting speed for 5 hours was 29 km/hr. For the next 96 km his speed was 24 km/hr. By what speed he must travel now so as to reach Ahmedabad in decided time of 17 hours?

The correct answer is

81 km/hr

Total distance = 889 km. Total time = 17 hours. Distance covered in 5 hours = 5 × 29 = 145 km. Time taken to cover 96 km at 24 km/hr = 96 / 24 = 4 hours. Remaining time = 17 - 5 - 4 = 8 hours. Remaining distance = 889 - 145 - 96 = 648 km. Speed required = 648 / 8 = 81 km/hr.

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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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