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Mrs.Clarke is the PE teacher is pairing of students to race against each other. Tyler can run 7 meters per second and bridget can run 8 meters per second Mrs.Clarke decides to give tyler a head start of 4 meters since he runs more slowly. Once the students start running bridget will quickly catch up to tyler how long will that take? How far will bridget have to run?

1 Answer

6 votes

Answer:

It will take 4 seconds. She will have to run 32 meters

Explanation:

The formula to calculate the distance in terms of speed and time is:

distance = speed x time

Let x represent the distance Bridget run. Since Tylor starts 4 meters ahead, the distance for the Tylor is x-4. The time is same for both of them, let us represent it with t.

The distance by Bridget: x = 8t → t = x/8

The distance by Tylor: x - 4 = 7t → t = (x-4)/7

→ x/8 = (x-4)/7

→ 7x = 8(x-4)

→ 7x = 8x - 32

→ x = 32

Since x = 32 and t = x/8

→ t = 32/8 = 4

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