Question

A man travelled a distance of 99 km in 9 hours. he travelled partly on foot @ 9 km/hr and partly on bicycle @ 18 km/hr. what is distance (in kms) travelled on foot?

Answer 1

Answer:

The distance travelled on foot is 63 kms

Explanation:

Formula used:

$speed=\frac{Distance}{Time}$

Given :

Walking speed = 9 km/ hour

Cycling speed = 18 km/hour

Total distance travelled = 99 kms

Let x be the distance travelled by walking

Then, (99-x) is the distance traelled by cycling

On walking:

Walking speed = 9 km/ hour

$Time\:taken=\frac{x}{9}$ (using formula)

On cycling:

cycling speed = 18 km/ hour

$Time\:taken=\frac{99-x}{18}$ (using formula)

But , total time taken = 9 hours

This implies,

$\frac{x}{9}+\frac{99-x}{18}=9$

$\frac{2x+99-x}{18}=9$

$\frac{x+99}{18}=9$

$x+99=162$

$x=162-99$

$x=63\:kms$