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# M20-03. If 2 excavators can dig a 10-meter long trench in 50

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Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129148 [0], given: 12194

M20-03. If 2 excavators can dig a 10-meter long trench in 50 [#permalink]

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23 May 2014, 09:58
If 2 excavators can dig a 10-meter long trench in 50 minutes, how long will it take 3 excavators to dig a 15-meter long trench? (Assume the excavators are working at the same constant rates)

A. 45 minutes
B. 50 minutes
C. 52 minutes
D. 54 minutes
E. 60 minutes
_________________

Kudos [?]: 129148 [0], given: 12194

Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129148 [0], given: 12194

Re: M20-03. If 2 excavators can dig a 10-meter long trench in 50 [#permalink]

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23 May 2014, 09:59
Official Explanation:

If 2 excavators can dig a 10-meter long trench in 50 minutes, how long will it take 3 excavators to dig a 15-meter long trench? (Assume the excavators are working at the same constant rates)

A. 45 minutes
B. 50 minutes
C. 52 minutes
D. 54 minutes
E. 60 minutes

1 excavator can dig a 10-meter long trench in $$50*2=100$$ minutes. So, it can dig a 15-meter long trench in $$100*1.5=150$$ minutes.

Hence, 3 excavators can dig a 15-meter long trench in $$\frac{150}{3}=50$$ minutes.

_________________

Kudos [?]: 129148 [0], given: 12194

Re: M20-03. If 2 excavators can dig a 10-meter long trench in 50   [#permalink] 23 May 2014, 09:59
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# M20-03. If 2 excavators can dig a 10-meter long trench in 50

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