Question

Vendelin lives between two bus stops in 3/8 their lenght. Bus speed is 60 km/h. If Vendelin runs from home, he will be at the bus stop at the same time as bus. What is speed of Vendelin?​

Answer 1

Speed of Vendelin is 60 kilometre per hour.

Explanation:

Given:

The Distance two bus stops =
`(3)/(8)`

Speed of the bus = 60 km/h

To Find:

The Speed of vendelin = ?

Solution:

Let the speed bof vendelin be x. the it is stated that

" If Vendelin runs from home, he will be at the bus stop at the same time as bus."

So

Time Taken by the bus

=>
`\frac{ \text{ distance between the bus stop}}{\text{ speed of the bus}}`

=>
`((3)/(8))/(60)`

=>
`((3)/(8))/((1)/(60))`

=>
`(3)/(480)`------------------------------(1)

Time Taken by Vendelin

=>
`\frac{ \text{ distance between the bus stop}}{\text{ speed of Vendelin }}`

=>
`((3)/(8))/(x)`

=>
`(3)/(8x)`----------------------------------(2)

Equating (1) and (2) we get

`(3)/(480)` =
`(3)/(8x)`

`3 * 8x = 3 * 480`

`3 * 8x = 1440`

`8x =(1440)/(3)`

`8x = 480`

`x =(480)/(8)`

x = 60