sud21 wrote:If Dale works at full efficiency he needs a break of 1 day after every 2 days of work and he completes a job in a total of 11 days. If he works at reduced efficiency, he can work without break and finish that same job in 11 days. Dale's output at reduced efficiency is what fraction of his output at full efficiency?
5/11
6/11
7/11
8/11
9/11
Let W = a day of work and R = a day of rest.
When Dale works at full efficiency, he requires a day of rest after every 2 days of work.
Thus, the 11 days look as follows:
WWR
WWR
WWR
WW.
Implication of the 8 W's in red:
At full efficiency, Dale requires 8 days to complete the task.
Since Dale requires 11 days at reduced efficiency, the time ratio is as follows:
(reduced efficiency time)/(full efficiency time) = 11/8.
Since time and rate are RECIPROCALS, the rate ratio is equal to the reciprocal of the time ratio:
(reduced efficiency rate)/(full efficiency rate) = 8/11.
The correct answer is
D.
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