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A train running at a certain speed  crosses another train running in the opposite direction in  4.8 seconds. to find out the speed of the first train , which  of the following information P and Q  is sufficient ?

P : Then  length of the first train                          Q  :  The length  of the second train


Options:
A .  only P is sufficient
B .  only Q is sufficient
C .  either P or Q is sufficient
D .  Both P and Q are needed
E .  Both P and Q are not sufficient
Answer: Option E

Let two trains of lengths a and b  metres be moving in  opposite  directions at  u  m /s and  v m/s

Time taken by he trains to cross each other  = `(a + b)/(u + v)` sec

`:.`      `(a + b)/(u + v)`   = 4.8

In order to find  u,  we must know a, b and v,

i.e. , length of first train , length of second rain  and the speed of the second train .

Thus , P and Q are not sufficient .

`:.`        The correct answer is (E) .



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