If Dale works at full efficiency he needs a break of 1 day after every 2 days of work and he ...
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 17 days. If he works at reduced efficiency, he can work without break and finish that same job in 17 days. Dale's output at reduced efficiency is what fraction of his output at full efficiency?
Answer/Solution
12/5
Steps/Work
We're told that there are 2 ways for Dale to complete a job:
1) Full Efficiency: 2 days of work followed by 1 dayofffor a total of 17 days.
2) Reduced Efficiency: 17 straight days with no days off.
Working at Full Efficiency creates the following pattern:
2 days on, 1 day OFF, 2 days on, 1 day OFF, 2 days on, 1 day OFF, 2 days on = 2+1+2+1+2+1+2+1+2+1+2= 17 days
Totals: 12 days on, 5 days off
Reduced Efficiency means that Dale will do 12 days of work in 17 days, thus those Reduceddaysare 12/5 of Full Efficiency.
Answer : D
1) Full Efficiency: 2 days of work followed by 1 dayofffor a total of 17 days.
2) Reduced Efficiency: 17 straight days with no days off.
Working at Full Efficiency creates the following pattern:
2 days on, 1 day OFF, 2 days on, 1 day OFF, 2 days on, 1 day OFF, 2 days on = 2+1+2+1+2+1+2+1+2+1+2= 17 days
Totals: 12 days on, 5 days off
Reduced Efficiency means that Dale will do 12 days of work in 17 days, thus those Reduceddaysare 12/5 of Full Efficiency.
Answer : D