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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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