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If Anil can finish a job in 4 hours and Gustavo can finish the same jo

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Senior RC Moderator
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If Anil can finish a job in 4 hours and Gustavo can finish the same jo  [#permalink]

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New post 04 Mar 2019, 14:27
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

88% (00:58) correct 13% (00:55) wrong based on 40 sessions

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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

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Re: If Anil can finish a job in 4 hours and Gustavo can finish the same jo  [#permalink]

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New post 04 Mar 2019, 23:26
1

Solution



Given:
    • Anil can finish a job in 4 hours.
    • Gustavo can finish the same job in 6 hours.

To find:
    • The time to finish the job when both works together.

Approach and Working:
Let us assume the total job is 12 units (LCM of 4 and 6 is 12)

    • Anil can do 12 units of work in 4 hours, hence in 1-hour Anil can do \(\frac{12}{4} = 3\) units
    • Gustavo can do 12 units of work in 6 hours, hence in 1-hour Gustavo can do \(\frac{12}{6} = 2\) units

Together they can do (3 + 2) = 5 units of work in 1 hour.

Therefore, to complete the work, they will take = \(\frac{12}{5}\) hours = 2 hours 24 minutes.

Hence, the correct answer is option C.

Answer: C

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Re: If Anil can finish a job in 4 hours and Gustavo can finish the same jo  [#permalink]

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New post 06 Mar 2019, 02:03
rate of A = 1/4 and rate of G= 1/6
together they can work @ rate = 10/24
time = 24/10 * 60 mins = 144 mins
or say 2 hrs 24 mins
IMO C

SajjadAhmad 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
GMAT Club Bot
Re: If Anil can finish a job in 4 hours and Gustavo can finish the same jo   [#permalink] 06 Mar 2019, 02:03
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