104. 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
✅ The correct answer is option D.
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.

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