Question

A biker’s speed is 1.5 times faster than a walker’s speed. They start moving simultaneously in the same direction from the same point and, after 1.5 hours, the distance between them is 12.5 miles. What are their speeds?

Answer 1

Biker: 25

Walker: 16.67

Answer 2

Answer : The speed of walker and biker is, 16.67 mile/hr and 25.005 mile/hr respectively.

Step-by-step explanation :

Let the walker’s speed be, 'x'

So, the biker’s speed will be, 1.5x

Given:

Time = 1.5 hours

Distance between walker and biker = 12.5 miles

As we know that,

`Distance=Speed* Time`

The distance covered by walker =
`(x)* 1.5=1.5x`

The distance covered by biker =
`(1.5x)* 1.5=(1.5)^2x`

Distance between walker and biker = 12.5 miles

So,

`(1.5)^2x-1.5x=12.5`

`2.25x-1.5x=12.5`

`0.75x=12.5`

`x=(12.5)/(0.75)`

`x=16.67`

Thus, the walker’s speed = x = 16.67 mile/hr

The biker's speed = 1.5x = 1.5(16.67) mile/hr = 25.005 mile/hr