Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 14 Sep 2014, 20:08

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# There are three workers , Peter, Jamie, Vicky that can paint

Author Message
TAGS:
Manager
Joined: 20 Mar 2005
Posts: 201
Location: Colombia, South America
Followers: 1

Kudos [?]: 6 [0], given: 0

There are three workers , Peter, Jamie, Vicky that can paint [#permalink]  27 Nov 2006, 11:00
There are three workers , Peter, Jamie, Vicky that can paint a room in 8, 6, 3 hours respectively, what is the ratio of the amount of work done by the slowest worker painting the room to the total amount of work?
Director
Joined: 05 Feb 2006
Posts: 904
Followers: 1

Kudos [?]: 33 [0], given: 0

Must be 1/5.

The slowest worker's work done:1/8
Total work done: 1/8+1/6+1/3=45/72

ratio: (1/8)/(45/72)=(1/8)*(72/45)=1/5
Manager
Joined: 10 Jul 2006
Posts: 75
Followers: 1

Kudos [?]: 2 [0], given: 0

I think it's 1/5.

The slowest worker is Peter with 8 hrs. thus, in 1 hr, he 's done 1/8 of the job.
Calculating the total amt of work done together in 1 hr: 1/8+1/6+1/3 = 30/48. and together, it will take them 1.6 hrs.

Thus, the portion that peter will get done himself is (1/8)*1.6 and 1/5 of the total work done
Senior Manager
Joined: 01 Sep 2006
Posts: 302
Location: Phoenix, AZ, USA
Followers: 1

Kudos [?]: 13 [0], given: 0

Re: work problem [#permalink]  27 Nov 2006, 14:51
There are three workers , Peter, Jamie, Vicky that can paint a room in 8, 6, 3 hours respectively, what is the ratio of the amount of work done by the slowest worker painting the room to the total amount of work?

Togather in 1 hr (1/8)+(1/6)+(1/3)=30/48

in 1 hour slowest does 1/8

(1/8)/(30/48)=1*48/(8*30)=6/30=1/5=20%
Senior Manager
Joined: 20 Feb 2006
Posts: 375
Followers: 1

Kudos [?]: 1 [0], given: 0

At any given time the amount of work done by each of the workers is given by 1/8:1/6:1/3

Common denominator = 24 -----> 3/24:4/24:6/24

Slowest worker does 3/24 of work

Total work = 15/24

Ratio of slowest:total work = (3/24)/(15/24) or (3/24)*(24/15)

Cancelling out 24 gives 3/15 or 1/5
Similar topics Replies Last post
Similar
Topics:
20 Tom, working alone, can paint a room in 6 hours. Peter and 6 27 Jan 2012, 12:19
6 Tom, working alone, can paint a room in 6 hours. Peter and 13 11 Aug 2011, 07:40
Tom, working alone, can paint a room in 6 hours. Peter and 11 12 Oct 2008, 19:08
Tom, working alone, can paint a room in 6 hours. Peter and 1 14 Feb 2008, 08:19
Tom, working alone, can paint a room in 6 hours. Peter and 5 20 Aug 2007, 18:34
Display posts from previous: Sort by