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Mansoor-Ul-Haque and Aaqib are working on a special assignment. Mansoor-Ul-Haque needs 6 hours to type 32 pages on a computer and Aaqib needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 110 pages?

Correct answer: C. 8 hour 15 minutes

  • A. 7 hour 15 minutes
  • B. 7 hour 30 minutes
  • C. 8 hour 15 minutes
  • D. 8 hour 30 minutes

Explanation

Mansoor types 32 pages ÷ 6 hours = 16/3 pages per hour, while Aaqib types 40 pages ÷ 5 hours = 8 pages per hour. Together their rate is 16/3 + 8 = 40/3 pages per hour, so 110 pages take 110 pages ÷ (40/3 pages per hour) = 8.25 hours = 8 hours 15 minutes. Students may choose 8 hours 30 minutes by rounding 8.25 hours instead of converting the quarter hour exactly.

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