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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. 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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