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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 hr by herself and person B is able to mow in lawn in 3 hr by himself. Which of the following is the amount of time it would take for both person A and B to mow the lawn together?

Answer Choices:

Correct Answer:

1.2 hours

Rationale:

🧮To find the combined work time, add the rates of both workers and then take the reciprocal of the total rate.

📊Person A’s rate is 1 lawn ÷ 2 hr = 1/2, and Person B’s rate is 1 lawn ÷ 3 hr = 1/3.

📈Combined rate = 1/2 + 1/3 = (3 + 2)/6 = 5/6 lawns per hour.

📉Time taken = 1 ÷ (5/6) = 6/5 = 1.2 hours.

✅Therefore, working together, they can mow the lawn in 1.2 hours.


📌Core Message

Working together, they finish the lawn in 1.2 hours by combining individual work rates.

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This question is from MATH 2025 Exam-2 which contains 37 questions.

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Question Details
  • Category: ATI TEAS
  • Subcategory: MATH.
  • Domain: MATH 2025
  • Answer Choices: 4
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