**Aptitude & Reasoning**

TRAINS-DISTANCE-SPEED-TIME

**Distance (D) = Speed (S) × Time (T)**

X kmph = X × 5/18 m/s

X m/s = X × 18/5 kmph

If the ratio of the speeds A & B is a : b, then the ratio of the times taken by them to

cover the same distance is

= 1/a ∶ 1/b

= b : a

Suppose two trains are moving in the same directions at X m/s and Y m/s then

their relative speed

= (X – Y) m/s

Suppose two trains are moving in the opposite directions at X m/s and Y m/s then

their relative speed

= (X + Y) m/s

If two trains of length ‘A’ meters and ‘B’ meters are moving in same directions at

X m/s and Y m/s then the time taken by the trains to cross each other

= A+B / X− Y

If trains move in opposite direction s

= A+B / X+ Y

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