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A, B, and C can complete a piece of work in 24 days, 40 days

Expert replies
by BTGmoderatorLU » Tue Jul 17, 2018 3:06 pm

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty

A, B, and C can complete a piece of work in 24 days, 40 days, and 60 days, respectively. In how many days was the piece of work completed?

(1) A, B, and C started working together, and A continued to work till the end.
(2) A, B, and C started working together, B and C left the work 2 days and 7 days, respectively, before the completion of the work.

The OA is B.

Can someone please tell me if my approach is correct or not and if I am solving it right or not?

A's one day work =1/24
B's one day work =1/40
C's one day work =1/60

Working together for first 2 days = (1/24 + 1/40+ 1/60) *2
A and C Working together for next 5 days = (1/24 + 1/60) *5
A working alone for rest of the days = (1/24)*x

(1/24 + 1/40+ 1/60) *2 + (1/24 + 1/60) *5 + (1/24)*x = 1

and we can find x by this? Thanks in advance!
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Source: — Data Sufficiency |

by Jay@ManhattanReview » Wed Jul 18, 2018 3:07 am
BTGmoderatorLU wrote:A, B, and C can complete a piece of work in 24 days, 40 days, and 60 days, respectively. In how many days was the piece of work completed?

(1) A, B, and C started working together, and A continued to work till the end.
(2) A, B, and C started working together, B and C left the work 2 days and 7 days, respectively, before the completion of the work.

The OA is B.

Can someone please tell me if my approach is correct or not and if I am solving it right or not?

A's one day work =1/24
B's one day work =1/40
C's one day work =1/60

Working together for first 2 days = (1/24 + 1/40+ 1/60) *2
A and C Working together for next 5 days = (1/24 + 1/60) *5
A working alone for rest of the days = (1/24)*x

(1/24 + 1/40+ 1/60) *2 + (1/24 + 1/60) *5 + (1/24)*x = 1

and we can find x by this? Thanks in advance!
Hi,

Your approach is fine. Upon solving (1/24 + 1/40+ 1/60) *2 + (1/24 + 1/60) *5 + (1/24)*x = 1, you will bget the unique value of x. This is a linear equation, thus, only one value of x will result. Sufficient.

-Jay
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