Answer:
Speed of Vendelin is 60 kilometre per hour.
Step-by-step explanation:
Given:
The Distance two bus stops = [tex]\frac{3}{8}[/tex]
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
=>[tex]\frac{ \text{ distance between the bus stop}}{\text{ speed of the bus}}[/tex]
=>[tex]\frac{\frac{3}{8}}{60}[/tex]
=>[tex]\frac{\frac{3}{8}}{\frac{1}{60}}[/tex]
=>[tex]\frac{3}{480}[/tex]------------------------------(1)
Time Taken by Vendelin
=>[tex]\frac{ \text{ distance between the bus stop}}{\text{ speed of Vendelin }}[/tex]
=>[tex]\frac{\frac{3}{8}}{x}[/tex]
=>[tex]\frac{3}{8x}[/tex]----------------------------------(2)
Equating (1) and (2) we get
[tex]\frac{3}{480}[/tex] = [tex]\frac{3}{8x}[/tex]
[tex]3 \times 8x = 3 \times 480[/tex]
[tex]3 \times 8x = 1440[/tex]
[tex] 8x =\frac{1440}{3}[/tex]
[tex] 8x = 480[/tex]
[tex] x =\frac{480}{8}[/tex]
x = 60
