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Question

Advait has to reach Kanpur which is 947 km away in 19 hours. His starting speed for 6 hours was 38 km/hr. For the next 70 km his speed was 35 km/hr. By what speed he must travel now so as to reach Kanpur in the decided time of 19 hours?

The correct answer is

59 km/hr

Distance travelled in the first 6 hours = 38 km/hr × 6 hours = 228 km
Distance travelled in the next 70 km = 70 km
Remaining distance to cover = 947 km - 228 km - 70 km = 649 km
Remaining time = 19 hours - 6 hours (first part) - time taken for next 70 km = 19 hours - 6 hours - (70 km ÷ 35 km/hr) = 19 - 6 - 2 = 11 hours
Required speed = Distance ÷ Time = 649 km ÷ 11 hours = 59 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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