Events & Promotions
|
|
GMAT 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.
Apr 2601:30 AM EDT
-02:30 AM EDT
Learn how Keshav, a Chartered Accountant, scored an impressive 705 on GMAT in just 30 days with GMATWhiz's expert guidance. In this video, he shares preparation tips and strategies that worked for him, including the mock, time management, and more.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2512:30 AM EDT
-01:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
May 0111:00 AM PDT
-12:00 PM PDT
Free- full-length test + 15 concept videos + 150+ short videos + study plan!
04 May 2022, 08:15
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
68% (02:59) correct
32%
(03:11)
wrong
based on 234
sessions
History
Date
Time
Result
Not Attempted Yet
To do a certain work B would take three times as long as A and C together and C twice as long as A and B together. The three men complete the work together in 10 days. How long would each take separately?
A. 20, 60, 40
B. 24, 40, 30
C. 10, 90, 20
D. 12, 90, 18
E. 24, 80, 36
Are You Up For the Challenge: 700 Level Questions
A. 20, 60, 40
B. 24, 40, 30
C. 10, 90, 20
D. 12, 90, 18
E. 24, 80, 36
Are You Up For the Challenge: 700 Level Questions
05 May 2022, 11:03
Kudos
Bookmarks
To save time, I will focus on solving for C only.
It takes C twice as long as A and B together to do a certain work: \(C = 2(A + B)\)
\(\frac{C}{2}= A+B\)
We are also told that the three men complete the work together in 10 days: \(\frac{1}{A}+\frac{1}{B}+\frac{1}{C}=\frac{1}{10}\)
Substituting in A+B = C/2 into the above:
\(\frac{1}{\frac{C}{2}}+\frac{1}{C}=\frac{1}{10}\)
\(\frac{2}{C}+\frac{1}{C}=\frac{1}{10}\)
\(\frac{3}{C}=\frac{1}{10}\)
\(C = 30\)
Answer B
It takes C twice as long as A and B together to do a certain work: \(C = 2(A + B)\)
\(\frac{C}{2}= A+B\)
We are also told that the three men complete the work together in 10 days: \(\frac{1}{A}+\frac{1}{B}+\frac{1}{C}=\frac{1}{10}\)
Substituting in A+B = C/2 into the above:
\(\frac{1}{\frac{C}{2}}+\frac{1}{C}=\frac{1}{10}\)
\(\frac{2}{C}+\frac{1}{C}=\frac{1}{10}\)
\(\frac{3}{C}=\frac{1}{10}\)
\(C = 30\)
Answer B
05 May 2022, 14:58
Kudos
Bookmarks
Bunuel
B would take three times as long as A and C together.
Time and rate have a reciprocal relationship.
Since the time ratio for B and A+C = 3:1, the rate ratio for B and A+C = 1:3.
Let the job = 40 widgets.
The three men complete the work together in 10 days.
Since A+B+C take 10 days to produce the 40-widget job, the combined rate for A+B+C \(= \frac{work}{time} = \frac{40}{10} = 4\) widgets per day.
Since the rate ratio for B and A+C = 1:3, the rate for B = 1 widget per day, while the rate for A+C = 3 widgets per day, for a combined rate of 4 widgets per day.
B's rate of 1 widget per day implies that B's time to produce the 40-widget job \(= \frac{work}{rate} = \frac{40}{1} = 40\) days.
If we assume that the times in the answer choices are for A, B and C in that order -- something the prompt should make clear -- only one option indicates a time of 40 hours for B.
