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Two trains, 297 m and 243 m, in length are running in opposite directions. The first runs at the rate of 42 km/hr and the second at the rate of 66 km/
Question

Two trains, 297 m and 243 m, in length are running in opposite directions. The first runs at the rate of 42 km/hr and the second at the rate of 66 km/hr. How long will they take to cross each other?

A.

9 seconds

B.

13 seconds

C.

8 seconds

D.

18 seconds

Correct option is D

Given:
Length of first train = 297 m
Length of second train = 243 m
Speed of first train = 42 km/hr
Speed of second train = 66 km/hr
Formula Used:
Relative speed = S1 + S2
T = DS\frac{D}{S}​​
Solution:
Calculate the total distance:
297 + 243 = 540
Calculate the relative speed:
42 + 66 = 108
Convert the relative speed from km/hr to m/s:
108 ×518 \frac{5}{18}​ = 30
Calculate the time taken:
Time = 54030 \frac{540}{30}​ = 18
Final Answer
So the correct answer is (d)

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