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Robert leaves home on a motorcycle and travels towards his aunt’s house at an average speed of 75 kilometers per hour (kph or km/h). While on the road, the

motorcycle breaks down and he decides to walk the rest of the way to his aunt at an average speed of 5 kph. If he reaches her aunt’s house after 1 hour and 20 minutes and the distance from his home to his aunt’s house is 30 kilometers, how far has he gone before the motorcycle breaks down?

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So the formula for distance is:

So we compute for the distance he traveled by walking and we get:

(if you are wondering how we got 4/3 we are expressing 1 hour and 20 minutes as 4/3 an hour)

Computing for the distance he traveled before his motorcycle broke down is\

Therefore he had traveled km before his motorcycle broke down