A train is on a 120 km journey. After travelling for 2 hours and 40 minutes, the distance it has covered is 7/8 of the remaining distance. What is the speed of the train in m/s?
Show answer & explanation
Correct answer: C
Explanation
Given:
Total distance = 120 km
Time = 2 hours 40 minutes = 8/3 hours
Distance traveled = 7/8 of the remaining distance
Let distance traveled = x
Remaining distance = 120 − x
x = (7/8)(120 − x)
8x = 840 − 7x
15x = 840
x = 56 km
Speed (km/h)
= 56 / (8/3) = 21 km/h
In meters/second = 21 × 5/18 = 5.83 m/s