BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

ratio

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 324
Joined: Thu Dec 24, 2009 6:29 am
Thanked: 17 times
Followed by:1 members

ratio

by rahul.s » Mon Feb 08, 2010 1:48 am
3 machines have a productivity ratio of 1:2:5. all 3 machines are working on a job for 3 hours. at the beginning of the 4th hour, the slowest machine breaks. it is fixed at the beginning at hour 7, and begins working again. the job is done in 9 hours. what was the ratio of the work performed by the fastest machine to the work performed by the slowest?

again, there are no answer options :)

OA: [spoiler]15:2[/spoiler]
Top
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 1022
Joined: Mon Jul 20, 2009 11:49 pm
Location: Gandhinagar
Thanked: 41 times
Followed by:2 members

by shashank.ism » Mon Feb 08, 2010 2:08 am
rahul.s wrote:3 machines have a productivity ratio of 1:2:5. all 3 machines are working on a job for 3 hours. at the beginning of the 4th hour, the slowest machine breaks. it is fixed at the beginning at hour 7, and begins working again. the job is done in 9 hours. what was the ratio of the work performed by the fastest machine to the work performed by the slowest?

again, there are no answer options :)

OA: [spoiler]15:2[/spoiler]
3 machines have a productivity ratio of 1:2:5.
Let x be the production of slowest machine per hour. so productivion per hour of middle machine 2x and production of fastest machine 5x
so total production per hour = x+2x+5x =8x.

production by slowest machine in 3 hr + work done in the last 3 hrs = 6x
production by middle machine in 9 hr = 2x9 = 18x
production by fastest machine in 9 hr = 5x9 = 45x


so ration of work done by fastest machin to slowest = 45/6 = [spoiler]15/2 Ans[/spoiler]
My Websites:
www.mba.webmaggu.com - India's social Network for MBA Aspirants

www.deal.webmaggu.com -India's online discount, coupon, free stuff informer.

www.dictionary.webmaggu.com - A compact free online dictionary with images.

Nothing is Impossible, even Impossible says I'm possible.
Top
Master | Next Rank: 500 Posts
Posts: 199
Joined: Mon Apr 06, 2009 4:15 am
Location: India
Thanked: 13 times

by gauravgundal » Mon Feb 08, 2010 5:24 am
See atlast you need to find
the ratio of work performed by fastest mach. to slowest mach. = Ratio of Productivity of Fastest to slowest mach.
= (5*9x)/(1*6x) [9 hrs work by fastest mach.and 6 hrs work by slowest mach. ]
= 15/2
Top
Post new topic Post Reply
• Page 1 of 1