GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
If Eugene can complete a project in 4 hours and Steve can co
[#permalink]
20 Mar 2020, 11:41
20 Mar 2020, 11:41
Expert Reply
00:00
Question Stats:
92% (00:48) correct
7% (01:35) wrong based on 28 sessions
Hide Show timer Statistics
If Eugene can complete a project in 4 hours and Steve can complete the same project in 6 hours, how many hours will it take Eugene and Steve to complete the project if they work together?
A. \(2\)
B. \(2 \frac{1}{4}\)
C. \(2 \frac{2}{5}\)
D. \(2 \frac{3}{4}\)
E. \(3\)
Kudos for the right answer and explanation
A. \(2\)
B. \(2 \frac{1}{4}\)
C. \(2 \frac{2}{5}\)
D. \(2 \frac{3}{4}\)
E. \(3\)
Kudos for the right answer and explanation
Re: If Eugene can complete a project in 4 hours and Steve can co
[#permalink]
20 Mar 2020, 21:07
20 Mar 2020, 21:07
2
Let the total work be 1 units.
Eugene completes W units in 4 hours, so in 1 hour, Eugene will complete \(\frac{1}{4}\) unit of work.
Similarly, Steve will complete \(\frac{1}{6}\) unit of work in 1 hour.
When Eugene and Steve work together, total work done in 1 hour = \(\frac{1}{4} + \frac{1}{6} = \frac{6+4}{24}\)
Work done together in 1 hour = \(\frac{10}{24} = \frac{5}{12}\)
Now \(\frac{5}{12}\) units of work is done in 1 hour.
Hours taken to complete 1 unit of work = \(\frac{1}{5/12} = \frac{12}{5} = 2 \frac{2}{5}\)
OA,C
Eugene completes W units in 4 hours, so in 1 hour, Eugene will complete \(\frac{1}{4}\) unit of work.
Similarly, Steve will complete \(\frac{1}{6}\) unit of work in 1 hour.
When Eugene and Steve work together, total work done in 1 hour = \(\frac{1}{4} + \frac{1}{6} = \frac{6+4}{24}\)
Work done together in 1 hour = \(\frac{10}{24} = \frac{5}{12}\)
Now \(\frac{5}{12}\) units of work is done in 1 hour.
Hours taken to complete 1 unit of work = \(\frac{1}{5/12} = \frac{12}{5} = 2 \frac{2}{5}\)
OA,C
Carcass wrote:
If Eugene can complete a project in 4 hours and Steve can complete the same project in 6 hours, how many hours will it take Eugene and Steve to complete the project if they work together?
A. \(2\)
B. \(2 \frac{1}{4}\)
C. \(2 \frac{2}{5}\)
D. \(2 \frac{3}{4}\)
E. \(3\)
Kudos for the right answer and explanation
A. \(2\)
B. \(2 \frac{1}{4}\)
C. \(2 \frac{2}{5}\)
D. \(2 \frac{3}{4}\)
E. \(3\)
Kudos for the right answer and explanation
gmatclubot
Re: If Eugene can complete a project in 4 hours and Steve can co [#permalink]
20 Mar 2020, 21:07
Moderators:
