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Solve this question using simultaneous equations.

To cover a distance of 10 km, Jacob runs some of the way at 15 km/h, and walks the rest of the way at 5 km/h. His total journey time is 1 hour. How far did Jacob run?

User Andrzej
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1 Answer

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Answer: Jacob ran for half an hour, and walked for the remaining half an hour. 15 km/hr x 0.5 hr = 7.5 km running, and 5km/ hr x 0.5 hr=2.5 km walking

Explanation:

Let x hours be the time Jacob ran, and therefore for 1-x hours he walked.

time x speed= distance

we get, 15x + 5*(1-x)=10

15x+5-5x=10,

10x=5,

x=0.5 hours.

Average speed was 10km/h.

HOPE THIS HELPS.

User Nakeem
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