A and B start walking in opposite directions. A covers 3 km and B covers 4 km. Then, A turns right and walks 4 km while B turns left and walks 3 km. How far is each from the starting point?

Options

A. a. 10 km
B. b. 8 km
C. c. 5 km
D. d. 4 km

Answer

C

Explanation

Let A and B started from point O. A towards west and B towards . East and at last they reached N and Q respectively.
`ON=sqrt(NM^(2)+MO^(2))=sqrt(4^(2)+3^(2))`
= 5 km
`becauseOQ=sqrt(OP^(2)+OP^(2))=sqrt(3^(2)+4^(2))=sqrt(25)`
= 5 km
`:." OQ=ON"`