BTGModeratorVI wrote: ↑Sun Feb 23, 2020 6:49 am
A carpenter worked alone for 1 day on a job that would take him 6 more days to finish. He and another carpenter completed the job in 4 more days. How many days would it have taken the second carpenter to do the complete job working alone?
A) 4 2/3
B) 7
C) 9
D) 14
E) 24
Answer:
D
Source: GMAT Paper tests
A straightforward approach is to
assign a nice value to the job.
We're looking for a number that works well with the given numbers (7 days to complete the job, and 4 extra days with help).
So let's say the carpentry job consists of making
56 wooden widgets
GIVEN: A carpenter worked alone for 1 day on a job that would take him 6 more days to finish.
This tells us that it would take the carpenter 7 days to make
56 wooden widgets
So,
in ONE day, the carpenter can make 8 wooden widgets.
So, after the first day, the number of widgets we still need to make =
56 - 8 =
48
GIVEN: He and another carpenter completed the job in 4 more days.
So the two carpenters we're able to make
48 wooden widgets in 4 days
This means their COMBINED rate is 12 widgets per day
We already know that the FIRST carpenter makes 8 wooden widgets per day
This means the SECOND carpenter can make 4 wooden widgets per day.
QUESTION: How many days would it have taken the second carpenter to do the complete job working alone?
The job consists of making
56 wooden widgets
The SECOND carpenter can make 4 wooden widgets per day
time = output/rate
So, time =
56/4 = 14 days
Answer: D
Cheers,
Brent
