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35 votes
35 votes
Ali and Omar cycle around a cycle track.

Ali cycles each lap in 50 seconds.
Omar cycles each lap in 80 seconds.
Ali and Omar start cycling at the same time at the start line.
Work out how many laps they will each have cycled when they are next at the start line together

User Pking
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1 Answer

17 votes
17 votes

Answer and step-by-step explanation:

First, we will have to know at what time they will cross the line at the same time. So we can do the equation:

50 * 80 = 400

That means in 400 seconds they will be level again. Now, let's find Ali's amount of laps for 400 seconds, if it takes Ali 50 seconds for one lap. We can do:

400/50 = 8

This means it will take Ali 8 seconds to be leveled with Omar. Now Omar has the equation:

400/80 = 5

Because it takes him 80 seconds to take one lap. Therefore, it will take Ali 8 laps, and Omar 5 laps to be at the same starting line. Hope this helps!

User Firman
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