Correct option is C
Given:
Speed of Train P = 72 km/hr
Speed of Train Q = 42 km/hr
Length of Train Q = 393 m
Time taken to cross Q = 1.5 minutes = 90 seconds
Speed of Train R = 63 km/hr
Length of Train R = 468 m
Formula Used:
Relative Speed (Same Direction) =
Relative Speed (Opposite Direction) =
Distance = Speed × Time
Solution:
Relative speed of P with respect to Q (same direction):
= 72 - 42 = 30 km/hr
Convert to m/s:
Total distance covered to cross train Q = Length of P + Length of Q =
Distance = Speed × Time
= 750 - 393 = 357 m
Now, calculate for train P crossing train R (opposite direction):
Relative speed = 72 + 63 = 135 km/hr
Convert to m/s:
Total distance to cross train R = 357 + 468 = 825 m
Time =
= 11 × 2 = 22 seconds
Final Answer
So the correct answer is (c)
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