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Question
Train P crosses a pole in 30 seconds and train Q crosses the same pole in one minute and 15 seconds. The length of train P is three-fourths the length of train Q. What is the ratio of the speed of train P to that of train Q?
Options:
A .  15 : 8
B .  8 : 15
C .  5 : 3
D .  3 : 5
E .  None of these.
Answer: Option A


Given that train P crosses a pole in 30 seconds and train Q crosses the same pole in one minute and 15 seconds.Let the length of train P be
LP and that of train Q be LQ
given that LP = 3/4 LQ As the train P and Q crosses the pole in 30 seconds and 75 seconds respectively, => Speed of train P = VP = LP/30 Speed of train Q = VQ = LQ/75 LP = 3/4 LQ => VP = 3/4 LQ/(30) = LQ/40 Ratio of their speeds = VP : VQ = LQ/40 : LQ/75 => 1/40 : 1/75 = 15 : 8



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