A and B start simultaneously from a certain point in the North and South directions on motor cycles. The speed of A and is 80km/hr and that of B is 65km/hr. What will be the distance between A and B after 12 minutes?

Options

A. (a) 14.5 km
B. (b) 39.0 km
C. (c) 36.2 km
D. (d) 29.0 km

Answer

D

Explanation

The distance covered by A in 12 minutes
`=(80xx12)/(60)=16` km
The distance covered by B in 12 minutes
`(65xx12)/(60)=13` km
The distance between A and B `=16+13=29` km
Alternatively
Relative speed `=80+65=145` kmph
`:.` Distance covered in 12 minutes `=(145xx12)/(60)=29` km