Walking at the rate of 4 kmph a man covers certain distance in 2hrs 45 min . Running at a speed of 16.5 kmph the man will cover the same distance in how many minutes ?

Options

A. 35 min.
B. 40 min.
C. 45 min.
D. 50 min.

Answer

B

Explanation

When distance is constant , then speed is inversely proportional
`S_(1) : S_(2) = T_(2) : T_(1)`
`4 : 16.5 = T_(2) : 165`
or `(4)/(16.5) = (T_(2))/(165)`
`T_(2) = (165 xx 4)/(16.5) = 40` min