If Anil can finish a job in 4 hours and Gustavo can finish the same job in 6 hours, how long would it take them, working together at their respective rates, to complete the job?
A. 1 hour, 50 minutes
B. 2 hours, 10 minutes
C. 2 hours, 24 minutes
D. 3 hours, 45 minutes
E. 4 hours, 30 minutes
OA C
Source: Princeton Review
If Anil can finish a job in 4 hours and Gustavo can finish
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Anil would do 3 jobs in 12 hours, Gustavo 2 jobs in 12 hours, so together 5 jobs in 12 hours, and thus 1 job in 12/5 hours = 2.4 hours = 2 hours and 24 minutes.
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Their combined rate is 1/4 + 1/6 = 6/24 + 4/24 = 10/24 = 5/12. Therefore, when working together, they can finish the job in 1/(5/12) = 12/5 = 2 2/5 hours, i.e., 2 hours and 24 minutes.BTGmoderatorDC wrote:If Anil can finish a job in 4 hours and Gustavo can finish the same job in 6 hours, how long would it take them, working together at their respective rates, to complete the job?
A. 1 hour, 50 minutes
B. 2 hours, 10 minutes
C. 2 hours, 24 minutes
D. 3 hours, 45 minutes
E. 4 hours, 30 minutes
OA C
Source: Princeton Review
Answer: C
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Their combined rate is 1/4 + 1/6 = 6/24 + 4/24 = 10/24 = 5/12. Therefore, when working together, they can finish the job in 1/(5/12) = 12/5 = 2 2/5 hours, i.e., 2 hours and 24 minutes.BTGmoderatorDC wrote:If Anil can finish a job in 4 hours and Gustavo can finish the same job in 6 hours, how long would it take them, working together at their respective rates, to complete the job?
A. 1 hour, 50 minutes
B. 2 hours, 10 minutes
C. 2 hours, 24 minutes
D. 3 hours, 45 minutes
E. 4 hours, 30 minutes
OA C
Source: Princeton Review
Answer: C
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews