81 equally efficient people could complete a piece of work in 15 days. Initially 45 such people started working together. But after they worked together for 6 days their employer wanted that the…
Question and options
81 equally efficient people could complete a piece of work in 15 days. Initially 45 such people started working together. But after they worked together for 6 days their employer wanted that the work should be completed in a total of 21 days. However any new worker who joins is only as efficient as any of the 45 people already working. How many new workers did the employer hire to work alongside the initial 45 people to meet the deadline?
- 30
- 36
- 18
- 27
Answer and explanation
Correct answer: A - 30
Work = 81 x 15 = 1215 man-days. 45 x 6 = 270 done, so 945 remain for the next 15 days. The 45 original workers do 675; the remaining 270 = n x 0.6 x 15, so n = 30.
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