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The speed of Ben is 6 m/s greater than the speed of Emma. Ben rides 100m when Emma rides 76 m.

What is the speed of Ben, x?

1 Answer

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Answer: The speed of Ben, x= 25m/s


Explanation:

Key concept: Ben rides 100 m and Emma rides 76 m in the same time.

Step 1: Suppose, the speed of Ben is x m/s.

Since the speed of Ben is 6 m/s greater than the speed of Emma,

So the speed of Emma would be (x-6) m/s.

Step 2: Calculate time for each and equate them as follow:

100/x= 76/(x-6)

After cross multiplying, we get:

100(x-6)=76x

100x-76x=600

24x=600

x= 25


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