SOLUTION: Two cyclists are competing in a 12-mile race on a quarter mile circular track. They began at the same time. One biker’s average speed is 24 miles per hour. The other’s average spee

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Question 542250: Two cyclists are competing in a 12-mile race on a quarter mile circular track. They began at the same time. One biker’s average speed is 24 miles per hour. The other’s average speed is 30 miles per hour. How many complete laps will the slower cyclist have left to complete after the faster cyclist finishes?
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Two cyclists are competing in a 12-mile race on a quarter mile circular track.
They began at the same time. One biker’s average speed is 24 miles per hour.
The other’s average speed is 30 miles per hour.
How many complete laps will the slower cyclist have left to complete after the faster cyclist finishes?
:
4 * 12 = 48 laps required to go 12 mi
:
The faster cyclist requires 12%2F30 = .4 hrs to complete 48 laps.
:
Find how far the slower cyclist goes in .4 hrs
.4 * 24 = 9.6 mi,
which is
9.6 * 4 = 38.4 laps completed
48 - 38.4 = 9.6 laps to go, when the faster cyclist finishes