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A pair of kids and a pair of adults decided to compete in a three-legged race. The kids got to start 21 meters ahead of the adults, since they had shorter legs. When they were told to start, the kids hobbled forward at a rate of 1 meter per second, and the adults hobbled after them at a rate of 4 meters per second. Soon they were side-by-side. How long did that take? How far did the adults go?

 Feb 15, 2020
 #1
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A pair of kids and a pair of adults decided to compete in a three-legged race. The kids got to start 21 meters ahead of the adults, since they had shorter legs. When they were told to start, the kids hobbled forward at a rate of 1 meter per second, and the adults hobbled after them at a rate of 4 meters per second. Soon they were side-by-side. How long did that take? How far did the adults go?

 

laugh

 Feb 15, 2020
 #2
avatar+276 
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Setting up 2 equations:

\(y=x+21\)

\(y=4x\)

 

\(4x=x+21\)

\(3x=21\)

\(x=7\)

\(y=28\)

 

x=time and y=distance

The answer: it takes 7 seconds and the adults go 28 meters

 Feb 15, 2020

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