Question

Adam and Beth are running a marathon together. The distance (in miles) that Adam runs, for every minute t, can be given by A() = 0.01/2 and the distance (in miles) that Beth runs, for every 0.172 + 21 minute (, can be given by B(1) : 1-1 What is the total distance that Adam and Beth run in 10 minutes? miles (round your answer to the nearest whole number)

Answer 1

Combining their distances, it is found that the total distance that Adam and Beth run in 10 minutes is of 4.33 miles.

What is the distance ran by Adam in 10 minutes?

The distance ran by Adam after t minutes is given by:

A(t) = 0.01t².

Hence, after 10 minutes, the distance is given by:

A(10) = 0.01 x 10² = 1 mile.

What is the distance ran by Beth in 10 minutes?

The distance ran by Beth after t minutes is given by:

B(t) = (0.1t² + 2t)/(t - 1).

Hence after 10 minutes, the distance is given by:

B(10) = [0.1(10)² + 2(10)]/(10 - 1) = 3.33 miles.

What is the combined distance?

1 + 3.33 = 4.33 miles.

A similar problem, in which the numerical value of a function is calculated, is given at https://brainly.com/question/2284360

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