Symbiosis National Aptitude Test SNAP 2019 Paper

Question : 37 of 110

Marks: +1, -0

Two trains of length 150 m each pass each other in 20 sec, when moving in opposite direction. When they move in the same direction, they take 40 sec to pass each other completely. Find the speed of the faster train.

10.25 m/sec.
11.25 m/sec.
11.75 m/sec.
12 m/sec.

Validate

Solution:

Let the speed of two trains are A m/sec. and B m/sec.
(here A > B)
Now, when moving in opposite direction, then
(A + B) × 20 = 150 + 150
(A + B) =

{300}/{20}

⇒ A + B = 15 ...(i)
when moving in same direction, then
(A – B) × 40 = 150 + 150
(A – B) =

{300}/{40}

= 7.5
From (i) and (ii), we get that
A =

{15+7.5}/{2}

= 11.25 m/sec.
Hence, speed of faster train = 11.25 m/sec.

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