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# X and Y, two computer engineers, built identical websites at different

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Math Expert
Joined: 02 Sep 2009
Posts: 60519
X and Y, two computer engineers, built identical websites at different  [#permalink]

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06 Nov 2019, 02:21
00:00

Difficulty:

45% (medium)

Question Stats:

72% (01:57) correct 28% (02:05) wrong based on 39 sessions

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X and Y, two computer engineers, built identical websites at different constant rates. X, working alone for 7 hours, built some of the website; then Y, working alone for 6 hours, built the rest of the website. How many hours would it have taken X, working alone, to build all of the website?

(1) X built one part 15 minutes

(2) X built four times as many parts in 7 hours as Y built in 6 hours

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Joined: 19 Oct 2018
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Location: India
Re: X and Y, two computer engineers, built identical websites at different  [#permalink]

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06 Nov 2019, 06:10
Assume X built x number of websites in 7 hours, and Y built y in 6 hours.

We want to calculate $$\frac{7(x+y)}{x}$$

Statement 1
x=$$\frac{7}{0.25}$$, but we have no idea about y

Insufficient

Statement 2

x=4y

$$\frac{7(x+y)}{x}= \frac{7(4y+y)}{4y}= \frac{35}{4}$$

Sufficient

Bunuel wrote:
X and Y, two computer engineers, built identical websites at different constant rates. X, working alone for 7 hours, built some of the website; then Y, working alone for 6 hours, built the rest of the website. How many hours would it have taken X, working alone, to build all of the website?

(1) X built one part 15 minutes

(2) X built four times as many parts in 7 hours as Y built in 6 hours

Are You Up For the Challenge: 700 Level Questions
Re: X and Y, two computer engineers, built identical websites at different   [#permalink] 06 Nov 2019, 06:10
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