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A motor car starts with a speed of 60 km/h and increases its speed after every two hours by 15 km/h. In how much time will it cover a distance of 360
Question

A motor car starts with a speed of 60 km/h and increases its speed after every two hours by 15 km/h. In how much time will it cover a distance of 360 km?

A.

2 hours

B.

9 hours

C.

7 hours

D.

5 hours

Correct option is D

Given:

Initial speed of the car = 60 km/h
- Speed increases every 2 hours by 15 km/h
- Total distance to be covered = 360 km

Solution:

In the first 2 hours, speed = 60 km/h, so distance covered = 60 × 2 = 120 km.
In the next 2 hours, speed = 60 + 15 = 75 km/h, so distance covered = 75 × 2 = 150 km.
Total distance after 4 hours = 120 + 150 = 270 km.

Remaining distance = 360 - 270 = 90 km.
In the next 2-hour interval, speed = 75 + 15 = 90 km/h.
Time required to cover 90 km = Distance / Speed = 90 / 90 = 1 hour.

Total time = 4 hours (first 270 km) + 1 hour (remaining 90 km) = 5 hours.

Answer: The car will take a total of 5 hours to cover 360 km.a

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