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?

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

Step-by-step 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