Question

A man covers a distance of 24 km in 3 and a half hours partly on foot at he speed of 4.5 km/h and partly on bicycle at the speed of 10 km/hr. Find the distance covered on foot.

Answer 1

Answer:

The distance covered on foot is 9 km.  

Step-by-step explanation:

Given : A man covers a distance of 24 km in 3 and a half hours partly on foot at he speed of 4.5 km/h and partly on bicycle at the speed of 10 km/hr.

To find : The distance covered on foot ?

Solution :

Let the distance covered on foot be 's'.

Total distance covered is 24 km.

The distance covered by bicycle is '24-s'.

Speed on foot is 4.5 km/h.

Speed on bicycle is 10 km/hr.

Total time cover by foot and bicycle = 3.5 hours.

We know, $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

Then,

$\frac{s}{4.5}+\frac{24-s}{10}=3.5$

Solving the equation,

$\frac{10s+4.5(24-s)}{4.5\times 10}=3.5$

$\frac{10s+108-4.5s}{45}=3.5$

$108+5.5s=3.5\times 45$

$108+5.5s=157.5$

$5.5s=157.5-108$

$5.5s=49.5$

$s=\frac{49.5}{5.5}$

$s=9$

Therefore, The distance covered on foot is 9 km.

Answer 2

Answer:

Answer: The distance covered on foot is 9 km. Step-by-step explanation: Given : A man covers a distance of 24 km in 3 and a half hours partly on foot at he speed of 4.5 km/h and partly on bicycle at the speed of 10 km/hr

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