Question

Walking at 3/4 of his normal speed, mike is 16 minutes late in reaching his office. The usual time taken by him to cover the distance between his home and his office is

Answer 1

Step-by-step explanation:

let originl speed is x

3/4 speed of norml speed is 3x/4

let distance b/w house and office =y

time taken on original speed =y/x

time taken when speed is 3/4th =y/3x/4

4y /3x -y/x= 16

4xy -3xy /3x=16

xy/3x=16

y/3=16

y =48

4x/3y =16

4x/144=16

x =144×4

x= 576km