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# Todd's construction company is capable of building 40 houses a year.

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Math Expert
Joined: 02 Sep 2009
Posts: 56256
Todd's construction company is capable of building 40 houses a year.  [#permalink]

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14 Dec 2018, 00:37
1
1
00:00

Difficulty:

5% (low)

Question Stats:

89% (01:03) correct 11% (01:31) wrong based on 118 sessions

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Todd's construction company is capable of building 40 houses a year. Todds brother Mike also owns a construction company. How long does it take the two companies together to build 64 houses?

(1) Mikes construction company is capable of building houses twice as fast as Todd's company does.

(2) Mike's construction company is capable of building 20 houses every three months

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Concentration: Sustainability, Marketing
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Re: Todd's construction company is capable of building 40 houses a year.  [#permalink]

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14 Dec 2018, 02:00
1
Bunuel wrote:
Todd's construction company is capable of building 40 houses a year. Todds brother Mike also owns a construction company. How long does it take the two companies together to build 64 houses?

(1) Mikes construction company is capable of building houses twice as fast as Todd's company does.

(2) Mike's construction company is capable of building 20 houses every three months

given tod builds 40 houses a year
so per month 40/12= 3.3 houses per month

from 1 :
rate of Mike is 2* tod rate = so mike rate = 2 * 3.3 = 6.6 houses per month

we have both rates now we can find time for 64 houses
sufficient

from 2 : mike can build 20 houses every three months ; per month 20/3= 6.6

same info as we got instmt1

sufficient

IMO D
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Joined: 12 Dec 2017
Posts: 79
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Schools: Yale '19, GMBA '20, XLRI
GMAT 1: 660 Q46 V35
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Re: Todd's construction company is capable of building 40 houses a year.  [#permalink]

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05 Jan 2019, 09:07
1
could any expert please explain this question in detail ? It will be a great help.
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Joined: 15 Feb 2018
Posts: 258
Re: Todd's construction company is capable of building 40 houses a year.  [#permalink]

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18 Jan 2019, 18:10
Clearly enough information is given for D, but how do we solve this using the 1/x+1/y=1/t method?
Re: Todd's construction company is capable of building 40 houses a year.   [#permalink] 18 Jan 2019, 18:10
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