Question

Asked Sep 11, 2019

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Roger can run one mile in 24minutes. Jeff can run one mile in 21

minutes. If Jeff gives Roger a 11 minute head start, how long will it take before Jeff catches up to Roger? How far will each have run?

minutes. If Jeff gives Roger a 11 minute head start, how long will it take before Jeff catches up to Roger? How far will each have run?

Not including the head start, it will take_____minutes for Jeff to catch up to Roger.

Step 1

Data of Roger,

Roger runs 1 mile in 24 minutes.

So, Rate by which Roger is running = 1/24 mile/ minute.

Let, Roger runs for x minutes.

So, total distance ran by Roger = rate * time = x/24 mile.

Step 2

Data of Jeff,

Jeff runs 1 mile in 21 minutes.

So, Rate by which Jeff is running = 1/21 mile/ minute.

As Jeff gives Roger a 11minute head start, so Jeff will run for (x-11) minutes.

So, total distance ran by Jeff = rate * time = (x-11)/21 mile.

Step 3

Both Roger and Jeff must cover the same dist...

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