Two locomotive train units 150 meters and 100 meters long are running along parallel track loops in identical directions at speeds of 56 km/h and 46 km/h respectively. In what timeframe will the faster train clear the slower train completely? MCQ with Answer and Explanation

Two locomotive train units 150 meters and 100 meters long are running along parallel track loops in identical directions at speeds of 56 km/h and 46 km/h respectively. In what timeframe will the faster train clear the slower train completely?
A. 110 seconds
B. 80 seconds
C. 90 seconds
D. 100 seconds
Answer: Option C
Solution (By JKSSB Mock Tests)
Total path distance = 150 + 100 = 250 meters. Relative speed index in same direction = 56 - 46 = 10 km/h = 10 * (5/18) = 25/9 m/s. Time required = 250 / (25/9) = 250 * 9 / 25 = 90 seconds.

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Practice More Time Speed and Distance Questions

Question #1
A boatman rows 30 km downstream and 18 km upstream, taking 3 hours for each leg of the journey. Find the speed of the boat in still water.
A. 8 km/h
B. 7 km/h
C. 10 km/h
D. 9 km/h

Correct Answer: Option A


Explanation:
Downstream speed = 30 / 3 = 10 km/h. Upstream speed = 18 / 3 = 6 km/h. Speed in still water = (10 + 6) / 2 = 8 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2
A train covers a distance of 360 km at a uniform speed. If the speed had been 10 km/h more, it would have taken 3 hours less for the same journey. What is the original speed of the train?
A. 35 km/h
B. 25 km/h
C. 40 km/h
D. 30 km/h

Correct Answer: Option D


Explanation:
Let original speed be s. 360/s - 360/(s+10) = 3. Dividing by 3: 120/s - 120/(s+10) = 1. 120(s + 10 - s) = s(s + 10) => 1200 = s(s + 10). Solving s^2 + 10s - 1200 = 0 gives (s-30)(s+40) = 0. Since speed is positive, s = 30 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
A swimmer logs 36 km downstream in 3 hours and tracks the identical course line upstream in 9 hours. Find the net velocity of the stream.
A. 3.5 km/h
B. 4.0 km/h
C. 4.5 km/h
D. 5.0 km/h

Correct Answer: Option B


Explanation:
Downstream speed = 36 / 3 = 12 km/h. Upstream speed = 36 / 9 = 4 km/h. Speed of stream current = (12 - 4) / 2 = 8 / 2 = 4 km/h.

This question belongs to: Maths Time Speed and Distance