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Aptitude Reasoning



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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