Multiple choice

A team leader undertook a certain project to complete in 44 days. He used 21 team members to complete the task. But after 11th day, only 1/6th work was completed. How many extra members will be required to complete the work in the stipulated time?

  1. 20

  2. 17

  3. 19

  4. 14

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

In the first 11 days, 21 members completed 1/6 of the work. To find the total number of members (M) needed to complete the remaining 5/6 of the work in the remaining 33 days, we use the work formula: (21 * 11) / (1/6) = (M * 33) / (5/6). Solving this gives M = 35 members, which means 35 - 21 = 14 extra members are required.

AI explanation

Using the standard work formula (M1 times D1) divided by W1 equals (M2 times D2) divided by W2, the total work in man-days is 21 members times 11 days divided by 1/6, which equals 1386 man-days. To finish the remaining 5/6 of the work in the remaining 33 days, the required members are (1386 times 5/6) divided by 33, which equals 35 members. Since the initial team had 21 members, 14 extra members are required.

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