A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Itslength is
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18Q:
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
A) 50 m
B) 150 m
C) 200 m
D) data inadequate
Answer: B) 150 m
Explanation:
Let the length of the train be x metres and its speed be y m/sec.
Then, (x/y)= 15 y =(x/15)
(x+100)/25 = x/15
=> 15(x + 100) = 25x
=> 15x + 1500 = 25x
=> 1500 = 10x
=> x = 150 m.
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