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  1. Two men A and B walk from X to Y a distance of 42 kms at 5 km and 7 km an hour respectively. B reaches Y and returns immediately and meets A at R. Find the distance from X to R.
    1. 32 km
    2. 30 km
    3. 35 km
    4. 40 km
Correct Option: C

When B meets A at R, by then B has walked a distance (XY + YR) and A, the distance XR.
That is both of them have together walked twice the distance from X to Y, i.e., 42 kms.

Now, the ratio of speed of A and B is 5 : 7 and they walk 84 kms.
∴  Hence, the distance XR travelled by

A =
5
× 84 = 35 kms.
5 + 7



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