Multiple choice

Six examiners, working 5 hours a day, can check 750 answer books in 8 days. At the same rate of checking, in what period of time can 4 examiners examine 800 answer books by working 8 hours a day?

  1. 4 days

  2. 8 days

  3. 9 days

  4. 12 days
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Use the formula (M1*D1*H1)/W1 = (M2*D2*H2)/W2. (6 * 8 * 5) / 750 = (4 * D2 * 8) / 800 => 240 / 750 = 32 * D2 / 800 => 0.32 = 0.04 * D2 => D2 = 8.

AI explanation

Using the formula equating man days and hours, 6 examiners working 5 hours a day for 8 days equals 240 examiner hours to check 750 books. The time required to check 800 books is 240 multiplied by 800 and divided by 750, which equals 256 examiner hours. Dividing these 256 hours by the 4 examiners working 8 hours a day, giving a total of 32 examiner days, results in a period of 8 days.

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