Question

Mahmoud runs to a marker and back in 15 minutes. His speed on the way to the marker is 5m/s and his speed on the way back is 4m/s. Find the distance to the marker?
............................................the answer is 2km but idk how?...........................................................
plz explain

Answer 1

the distance to the marker is 2 km

Step-by-step explanation:

Let the distance to the marker be d

Given that speed of Mahmoud on the way to the marker is 5 m/s and on the way back is 4 m/s

We know that

$\text{Distance}=\text{Speed}\times\text{Time}$

$\implies\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

Also,

$\text{Total Time}=\text{Time taken on the way to the marker}+\text{Time taken on the way back}$

$\implies 15\times 60=\frac{d}{5}+\frac{d}{4}$

$\implies 15\times60=d(\frac{1}{5}+\frac{1}{4})$

$\implies 15\times 60=d(\frac{4+5}{20})$

$\implies 15\times 60=d(\frac{9}{20})$

$\implies d=\frac{15\times 60\times 20}{9}$ m

$\implies d=2000$ m

$\implies d=2$ km

Hope this answer is helpful.

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