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25 Nov 2021, 05:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
98% (00:58) correct
3%
(04:31)
wrong
based on 40
sessions
History
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Not Attempted Yet
Steve, a construction supervisor, has to dig a big ditch. Steve knows that Bill can dig the ditch in 4 hours and that Joe can dig the same ditch in 3 hours. Steve hires both Bill and Joe to dig the ditch. Assuming that Bill and Joe work together, how long will it take to complete digging the ditch?
A) 7 hours
B) 3.5 hours
C) 12/7 hours
D) 2 hours
E) 1.5 hours
A) 7 hours
B) 3.5 hours
C) 12/7 hours
D) 2 hours
E) 1.5 hours
DashingNightmare2
Current Student
Joined: 30 May 2021
Last visit: 19 Jun 2022
Posts: 101
Own Kudos:
Given Kudos: 77
Location: India
Concentration: Marketing, Technology
Schools: ISB '23 (A)
GMAT 1: 750 Q50 V41
GPA: 2.96
29 Nov 2021, 11:45
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Bunuel
Bill can dig the ditch in 4 hours => In 1 hr bill digs \(\frac{1}{4}\) of the ditch
Joe can dig the same ditch in 3 hours => In 1 hr Joe digs \(\frac{1}{3 }\)of the ditch
Both combined will dig\(\frac{ 1}{4}+\frac{1}{3} =\frac{ 7}{12}\) of the dig in 1 hr
So total time they will take =\(\frac{ 12}{7} \)hr
Hence C
29 Nov 2021, 12:14
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Given: Steve, a construction supervisor, has to dig a big ditch. Steve knows that Bill can dig the ditch in 4 hours and that Joe can dig the same ditch in 3 hours. Steve hires both Bill and Joe to dig the ditch.
Asked: Assuming that Bill and Joe work together, how long will it take to complete digging the ditch?
The work done by Bill in 1 hour = 1/4
The work done by Joe in 1 hour = 1/3
The work done by Bill & Joe together in 1 hour = 1/4 + 1/3 = 7/12
The number of hours required by Bill & Joe together to complete digging the ditch = 12/7 hours
IMO C
Asked: Assuming that Bill and Joe work together, how long will it take to complete digging the ditch?
The work done by Bill in 1 hour = 1/4
The work done by Joe in 1 hour = 1/3
The work done by Bill & Joe together in 1 hour = 1/4 + 1/3 = 7/12
The number of hours required by Bill & Joe together to complete digging the ditch = 12/7 hours
IMO C
