Question

Eliot and William went hiking. They went with the same speed. Eliot's hike was 8 miles, and William's hike was 12 miles. It took Eliot 40 min less than William. How long was William's hike?

Answer 1

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Step-by-step explanation:

Answer 2

William's hike takes 2 hours.

Step-by-step explanation:

Let t be the time taken by William.

So, the time taken by Eliot = $t-\dfrac{40}{60}=t-\dfrac{2}{3}=\dfrac{3t-2}{3}$

Distance covered by Eliot = 8 miles

Distance covered by William's hike = 12 miles

So, According to question, it becomes,

$\dfrac{12}{t}=\dfrac{8\times 3}{3t-2}\\\\\dfrac{12}{t}=\dfrac{24}{3t-2}\\\\2t=3t-2\\\\2=3t-2t\\\\t=2$

Hence, William's hike takes 2 hours.

# learn more:

Alicia and Felix went on a hiking trip. They hiked 5/8 of a mile up the trail and stopped to rest. Then they hiked 1/4 of a mile more. How far did they hike?

https://brainly.in/question/9498306