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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
Joined: 02 Nov 2016
Posts: 4106
GPA: 3.39
If Anil can finish a job in 4 hours and Gustavo can finish the same jo  [#permalink]

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04 Mar 2019, 14:27
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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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Joined: 04 Jan 2015
Posts: 3074
Re: If Anil can finish a job in 4 hours and Gustavo can finish the same jo  [#permalink]

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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.

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Joined: 18 Aug 2017
Posts: 5008
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If Anil can finish a job in 4 hours and Gustavo can finish the same jo  [#permalink]

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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

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
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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