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A person covers a total distance of 270 km by bike. In the first 4 hours, the speed is 50 km/h, and it decreases to 35 km/h in the remaining journey.
Question

A person covers a total distance of 270 km by bike. In the first 4 hours, the speed is 50 km/h, and it decreases to 35 km/h in the remaining journey. What is the average speed of the bike?

A.

39 km/h

B.

45 km/h

C.

48 km/h

D.

42 km/h

Correct option is B


Given:
Total Distance = 270 km
In the first 4 hours, its speed is 50 km/h and it decreases to 35 km/h in the remaining journey.
Formula Used:
Average Speed = Total Distance/Total Time
Solution:
Total Distance = 270 km
In the first 4 hours, its speed is 50 km/h
⇒ Distance covered = 50 × 4 = 200 km
Remaining distance covered in 35 km/h
⇒ Time = (270 - 200)/35
⇒ 2 h
Total Time = 4 + 2 = 6 h
Average speed = 270/6
⇒ 45 km/h
∴ The average speed of the bike is 45 km/h.

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