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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. 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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