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Time and Distance - General Aptitude

Q1:

A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:

A 35

B
36 2
3

C
37 1
2

D 40

ANS:D - 40

Let distance = x km and usual rate = y kmph.

Then, x - x = 40      2y(y + 3) = 9x ....(i)
y y + 3 60
And, x - x = 40      y(y - 2) = 3x ....(ii)
y -2 y 60
On dividing (i) by (ii), we get: x = 40.