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Practice Question

A homeowner has hired two people to mow his lawn. If person A is able to mow the lawn in 2 hours by herself and person B is able to mow the lawn in 3 hours by himself, which of the following is the amount of time would take for both persons A and person B to mow the lawn together?

Answer Choices:

Correct Answer:

1.2 hours

Rationale:

💁‍♂️Person A's rate = 1 lawn/2 hours = 0.5 lawns/hr, and person B's rate = 1/3 lawns/hr.

📊Combined rate = 0.5 + 1/3 = 5/6 lawns/hr, so time = 1 ÷ (5/6) = 6/5 = 1.2 hours.

📘Work problems are solved by adding rates and taking the reciprocal of the total rate.

📏Other answers reflect misunderstandings of how time and rate interact when working together.


📌Core Message

Add individual work rates, then take the reciprocal to find the total time together.

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This question is from MATH 2024 Exam-5 which contains 38 questions.

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Question Details
  • Category: ATI TEAS
  • Subcategory: MATH.
  • Domain: MATH 2024
  • Answer Choices: 4
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