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Company J can build 36 houses in a year. Company K also builds houses.

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Company J can build 36 houses in a year. Company K also builds houses. [#permalink]

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New post 14 Mar 2017, 22:05
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Company J can build 36 houses in a year. Company K also builds houses. How long will it take both companies working simultaneously at their individual rates to build 75 houses?

(1) Company K is capable of building 14 houses every 3 months.
(2) Last year at one point, Company K was working on four houses at the same time.
[Reveal] Spoiler: OA

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Re: Company J can build 36 houses in a year. Company K also builds houses. [#permalink]

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New post 14 Mar 2017, 22:19
Company J Rate :- 1 house in 1/36 year
stmt 1 :- 14 houses in 3 months :- 56 houses in a year
Rate of building 1 house = 1/56 year
both can build 1 house in (1/36+ 1/56) year
75 houses can be calculated..hence sufficient

stmt2 - does not say anything about the constant rate and for duration K was working on 4 houses.Not sufficient.

Should be A...not sure though
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Re: Company J can build 36 houses in a year. Company K also builds houses. [#permalink]

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New post 14 Mar 2017, 23:29
stat A luks sufficient

any body plz help
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Re: Company J can build 36 houses in a year. Company K also builds houses. [#permalink]

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New post 15 Mar 2017, 00:07
total is 75 houses
rate of J is 36 houses/year
rate of K is unknown. let it be k
so the time taken will be 75/(36+k)

therefore, we need to find k

St 1: k builds 14 houses in 3 months. therefore no. of houses k builds in 1 year or 12 months = 14*4 = 56houses/year = k. Hence the value for the above expression can be calculated. ANSWER

St 2: the value of k cannot be deduce with the help of this information.

Option A
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Re: Company J can build 36 houses in a year. Company K also builds houses. [#permalink]

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New post 15 Mar 2017, 09:43
(1) We know that company J can build 36 houses in a year and we know that company k can build 42 houses in a year. Therefore, we can calculate how long it will take both companies working simultaneously at their individual rates to build 75 houses.
1/42 + 1/36 =
Sufficient

(2) We do not know how many company k can build in year.
Insufficient

Answer is A
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Re: Company J can build 36 houses in a year. Company K also builds houses. [#permalink]

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New post 15 Mar 2017, 10:06
We are given rate of company J, i.e 36 houses/year
We need to find out total time taken to build 75 houses if both J and K work simultaneously.

Rate*Time=Work

1/36=rate of J
k= rate of company K
total time taken be t


1/36+k * t=75

so basically we need to know the rate of company k

st.1 tells us the rate of company k, hence sufficient

st.2 does not give us any relevant info.

therefore ans is a.
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Re: Company J can build 36 houses in a year. Company K also builds houses.   [#permalink] 15 Mar 2017, 10:06
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