9
QuizMultiple Choice

Rational Functions — Test

Question 9 • Algebra II

Max can mow a lawn in 45 minutes. Jan takes twice as long to mow the same lawn. If they work together, the situation can be modeled by the following equation, where t is the number of minutes it would take to mow the lawn together. 1 over 45 plus 1 over 90 is equal to 1 over t How long will it take Maxine and Jan to mow the lawn together?

Answer
A
30 point 0 minutes
B
67 point 5 minutes
C
135 point 0 minutes
D
45 point 0 minutes

Explanation

Max mows 1/45 of the lawn per minute, and Jan takes twice as long, or 90 minutes, so Jan mows 1/90 of the lawn per minute. Together their rate is 1/45 + 1/90 = 2/90 + 1/90 = 3/90 = 1/30 of the lawn per minute. Therefore, they take 30 minutes, which is choice A, 30.0 minutes.

AI-written and checked against the verified answer.

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