Hard

Ali can finish a task in 6 hours, and Ahmed can finish it in 12 hours. Ahmed works alone for 2 hours, then both work together. How long does the whole task take?

Correct answer: B. 5 1/3 hours

  • A. 4 2/3 hours
  • B. 5 1/3 hours
  • C. 5 2/3 hours
  • D. 6 1/3 hours

Explanation

Ahmed completes 2/12 = 1/6 of the task in 2 hours. Together they complete 1/6 + 1/12 = 1/4 per hour, so the remaining 5/6 takes 10/3 hours. The total is 2 + 10/3 = 5 1/3 hours.

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About Quantitative Reasoning

Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.

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