There are eight bus stops P, Q, R, S, T, U, V and W. Q is 8 km east of P. S is 4 km west of R. W is 7 km south of P. R is 4 km south of Q. V is in the middle of P and Q. T is 6 km south of S. U is in the middle of S and T. What is the distance between W and U?

8 km
6 km
4 km
3 km

Correct answer: 4 km

Solution

Take P as (0,0). Then Q = (8,0), R = (8,-4), S = (4,-4), T = (4,-10), and U, the midpoint of S and T, is (4,-7). Also W = (0,-7) since it is 7 km south of P. Therefore, the distance between W and U is 4 km.

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