A passenger train reaches its destination in 8 hours. If speed of the train is increased by 3km/hour, then it takes one hour less. The distance covered by the train is

A) 150 km

B) 157 km

C) 165 km

D) 168 km

Correct answer:
D) 168 km

Description for Correct answer:
Let speed of train be x km/hr.

Therefore, Distance covered in 8 hrs = 8x km

Now, new speed of train = \( \Large \left(x+3\right) \) km/hr

Therefore, Distance covered in 8 - 1 = 7 hrs = \( \Large 7 \left(x+3\right)km \)

Therefore, \( \Large 8x = 7 \left(x+3\right)=7x+21 \)

x = 21

Therefore, Distance covered by train = 8x = \( \Large 8 \times 21 \) = 168 km.


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