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# Working at their respective, constant rates, Leslie can paint a fence

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Math Expert
Joined: 02 Sep 2009
Posts: 52390
Working at their respective, constant rates, Leslie can paint a fence  [#permalink]

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13 Apr 2018, 02:28
00:00

Difficulty:

5% (low)

Question Stats:

85% (00:44) correct 15% (00:39) wrong based on 67 sessions

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Working at their respective, constant rates, Leslie can paint a fence in 2 hours and Darryl can paint the same fence in 4 hours. If they work together, how long will it take Leslie and Darryl to paint the fence?

A. 45 minutes
B. 1 hour, 20 minutes
C. 2 hours, 15 minutes
D. 3 hours
E. 6 hours

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Working at their respective, constant rates, Leslie can paint a fence  [#permalink]

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13 Apr 2018, 03:35
Bunuel wrote:
Working at their respective, constant rates, Leslie can paint a fence in 2 hours and Darryl can paint the same fence in 4 hours. If they work together, how long will it take Leslie and Darryl to paint the fence?

A. 45 minutes
B. 1 hour, 20 minutes
C. 2 hours, 15 minutes
D. 3 hours
E. 6 hours

The solution is as follows.

1/2 + 1/4 = 1/x where x is the number of hours it takes Leslie and Darryl to paint the fence

3/4 = 1/x

4/3 = x . Therefore x = 4/3 hours = 1 hour, 20 minutes.

Hence option B. 1 hour, 20 minutes is the answer.

Give me +1 Kudos if you like the explanation. Thanks.
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Re: Working at their respective, constant rates, Leslie can paint a fence  [#permalink]

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28 Apr 2018, 18:12
When want to calculate work done by by two when individual work done is given then

(A*B)/A+B
=8/6 hr
=8*60/6 min
=80 min

i.e. 1 hr 20 minutes

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Re: Working at their respective, constant rates, Leslie can paint a fence  [#permalink]

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28 Apr 2018, 18:39
Option B

Work = Rate * Time

Leslie rate: $$\frac{1}{2}$$

Darryl rate: $$\frac{1}{4}$$

Leslie + Darryl rate: $$\frac{1}{2}$$ + $$\frac{1}{4}$$ = $$\frac{3}{4}$$

Work = Rate * Time

1 = $$\frac{3}{4}$$ * Time

Time = $$\frac{4}{3}$$ hour = 1 hour, 20 minutes
Re: Working at their respective, constant rates, Leslie can paint a fence &nbs [#permalink] 28 Apr 2018, 18:39
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