OG Q.no 138

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raju232007: Master | Next Rank: 500 Posts; Posts: 133; Joined: Sat Dec 29, 2007 2:43 am; Thanked: 12 times

by raju232007 » Wed Aug 27, 2008 4:22 am

At a loading dock,each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew.If the night crew has 4/5 as many workers as the day crew,what fraction of all the boxes loaded by the two crews did the day crew load?

A. 1/2
B.2/5
C.3/5
D.4/5
E.5/8

OA is E

I am confused about the explanation given in the OG..So can you provide a better explanation to solve this problem?

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Source: Beat The GMAT — Problem Solving | Wed Aug 27, 2008 4:22 am

dnairo1981: Newbie | Next Rank: 10 Posts; Posts: 9; Joined: Tue Jul 17, 2007 8:35 pm; Location: seattle; Thanked: 1 times

by dnairo1981 » Wed Aug 27, 2008 7:28 am

I picked numbers.

Lets say Day crew loads 20 boxes per 1 worker.
Then the night crew loads 3/4 * 20 = 15 boxes per worker.
Lets say day crew has total 20 workers.
Then the night crew has total 4/5 * 20 = 16 workers.

Important to know what the question is asking.

"what fraction of all the boxes loaded by the two crews"
total boxes loaded by the two crews is
Day Crew = 20*20= 400 boxes
Night crew = 15 * 16 = 240 , Total is 640

"did the day crew load"?
which is 400

Ans: 400 / 640 = 5/8

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