Difficult DS sum

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[email protected]: Legendary Member; Posts: 934; Joined: Tue Nov 09, 2010 5:16 amFollowed by: 14 members; Location: AAMCHI MUMBAI LOCAL; Thanked: 63 times

by [email protected] » Fri Jun 17, 2011 9:51 am

The time taken to make an automobile part increases proportionally with the increase in specifications to make that part. With 100 parts made, 15 with basic specifications, 45 with one added specification and the remaining 40 with 3 added specifications, did the time to make all of these automobile parts exceed 250 hours?

(1) It takes 1 hour to make the part with basic specifications and with each additional specification it takes 20 additional minutes.

(2) Each part is made by 2 people and weighs 2 pounds.

OA A

But guyzzz... please calculate the number of hours and see whats the answer...

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Source: Beat The GMAT — Data Sufficiency | Fri Jun 17, 2011 9:51 am

Frankenstein: Legendary Member; Posts: 1448; Joined: Tue May 17, 2011 9:55 amFollowed by: 53 members; Location: India; Thanked: 375 times

by Frankenstein » Fri Jun 17, 2011 9:56 am

Hi,
From(1): Basic specification - 1hour
1 additional specification - 1hour+20 mins = 4/3 hours
3 additional specification - 1hour+(20)3 mins = 2 hours
So time taken is 15(1)+45(4/3)+40(2) = 155
It doesn't exceed 250 hours.
Sufficient
From(2): Not sufficient

Hence, A

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amit2k9: Master | Next Rank: 500 Posts; Posts: 461; Joined: Tue May 10, 2011 9:09 amFollowed by: 3 members; Location: pune; Thanked: 36 times

by amit2k9 » Fri Jun 17, 2011 9:09 pm

a for 15 - 1hr *15
for 45 - (1hr + 20/60) * 45

for 40 - (1hr + 3*20/60) * 40

adding all 3 will give the requisite.

A it is.

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