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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:

Options:
A .  35
B .   36 2 3
C .   37 1 2
D .  40
Answer: Option D

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



Then,
x
-
x
=
40
  A Man Covered A Certain Distance At Some Speed. Had He Moved...   2y(y + 3) = 9x ....(i)
y
y + 3
60



And,
x
-
x
=
40
  A Man Covered A Certain Distance At Some Speed. Had He Moved...   y(y - 2) = 3x ....(ii)
y -2
y
60


On dividing (i) by (ii), we get: x = 40.


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