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 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 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.
25 Feb 2026, 11:35
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
37% (02:35) correct
63%
(02:35)
wrong
based on 51
sessions
History
Date
Time
Result
Not Attempted Yet
Three employees rake the beach each day at constant rates. Working together, employees A and B can rake the beach in 3 hours, whereas A and C can rake the beach in 2 1/2 hours . Working together, can A, B, and C rake the beach in less than 2 hours?
(1) B rakes faster than does A.
(2) Working alone, C can rake the beach in less than 5 hours.
(1) B rakes faster than does A.
(2) Working alone, C can rake the beach in less than 5 hours.
01 Mar 2026, 09:17
Kudos
Bookmarks
I got the answer as B, not sure how the first option can give a definitive answer, here is my explanation
Question originally gives us the following information
1/A + 1/B = 1/3 (eq1)
1/A + 1/C = 2/5 (eq2)
here A, B, C are rates of work done by the 3 employees. We want to find out whether 1/A + 1/B + 1/C > 1/2
From option 1,
we know that B > A
=> 1/B < 1/A
we will replace 1/A in eq1 with 1/B based on the fact that 1/B < 1/A
=> 1/B +1/B < 1/3
=> 1/B < 1/6 (eq3)
Adding eq3 to eq2
=> 1/A + 1/B + 1/C < 2/5 + 1/6
=> 1/A + 1/B + 1/C < 17/30
This should not be enough for us to answer the question since there is a possibility of 1/A + 1/B + 1/C to be > 1/2 and to be < 1/2 according to above equation.
From option 2:
we are told that 1/C > 1/5
adding to eq1
1/A + 1/B + 1/C > 1/3 + 1/5
=> 1/A + 1/B + 1/C > 8/15
and since 8/15 < 1/2, we can safely say that the we can answer about the required condition.
Question originally gives us the following information
1/A + 1/B = 1/3 (eq1)
1/A + 1/C = 2/5 (eq2)
here A, B, C are rates of work done by the 3 employees. We want to find out whether 1/A + 1/B + 1/C > 1/2
From option 1,
we know that B > A
=> 1/B < 1/A
we will replace 1/A in eq1 with 1/B based on the fact that 1/B < 1/A
=> 1/B +1/B < 1/3
=> 1/B < 1/6 (eq3)
Adding eq3 to eq2
=> 1/A + 1/B + 1/C < 2/5 + 1/6
=> 1/A + 1/B + 1/C < 17/30
This should not be enough for us to answer the question since there is a possibility of 1/A + 1/B + 1/C to be > 1/2 and to be < 1/2 according to above equation.
From option 2:
we are told that 1/C > 1/5
adding to eq1
1/A + 1/B + 1/C > 1/3 + 1/5
=> 1/A + 1/B + 1/C > 8/15
and since 8/15 < 1/2, we can safely say that the we can answer about the required condition.
01 Mar 2026, 09:59
Kudos
Bookmarks
Your only mistake was writing that B > A . If B rakes faster than A , then B < A .
