Mathematics: Melinda walked to the mall at 4 miles per hour and then rode back home in a bus at 24 miles per hour. If her total traveling time was 14 hours, how far was it to the mall?

The answer would be 3/5 of an hour ...

Melinda walked to the mall at 4 miles per hour

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11.08.2021

Given:

Melinda walked to the mall at 4 miles per hour and then rode back home in a bus at 24 miles per hour.

Total traveling time was 14 hours.

To find:

The distance between Melinda's house and mall.

Solution:

Formula used:

$Time=\dfrac{Distance}{Speed}$

Let x miles be the distance between Melinda's house and mall.

Melinda walked to the mall at 4 miles per hour. So, the time taken by Melinda is $\dfrac{x}{4}$ hours.

Speed of bus is 24 miles per hour. So, the time taken by bus is $\dfrac{x}{24}$ hours.

Total traveling time was 14 hours.

$\dfrac{x}{4}+\dfrac{x}{24}=14$

$\dfrac{6x+x}{24}=14$

$7x=14\times 24$

Divide both sides by 7.

$\dfrac{7x}{7}=\dfrac{14\times 24}{7}$

$x=2\times 24$

x=48

Therefore, the mall is 48 miles far from Melinda's house.

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