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?

Question

Mathematics

Coal

13 June, 07:44

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?

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Answers (1)

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Malia Montoya · Answer 1

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

Step-by-step 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