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

Answer:

Speed of Vendelin is 60 kilometre per hour.

Step-by-step explanation:

Given:

The Distance two bus stops = $\frac{3}{8}$

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

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

=>$\frac{\frac{3}{8}}{60}$

=>$\frac{\frac{3}{8}}{\frac{1}{60}}$

=>$\frac{3}{480}$------------------------------(1)

Time Taken by  Vendelin

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

=>$\frac{\frac{3}{8}}{x}$

=>$\frac{3}{8x}$----------------------------------(2)

Equating (1) and (2) we get

$\frac{3}{480}$ =  $\frac{3}{8x}$

$3 \times 8x = 3 \times 480$

$3 \times 8x = 1440$

$8x =\frac{1440}{3}$

$8x = 480$

$x =\frac{480}{8}$

x = 60