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02 Feb 2015, 07:27
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
77% (02:07) correct
23%
(02:33)
wrong
based on 581
sessions
History
Date
Time
Result
Not Attempted Yet
Working alone, Mary can pave a driveway in 8 hours and Hillary can pave the same driveway in 6 hours. When they work together, Mary thrives on teamwork so her rate increases by 33.33%, but Hillary becomes distracted and her rate decreases by 50%. If they both work together, how many hours will it take to pave the driveway?
A. 3 hours
B. 4 hours
C. 5 hours
D. 6 hours
E. 7 hours
A. 3 hours
B. 4 hours
C. 5 hours
D. 6 hours
E. 7 hours
02 Feb 2015, 08:54
Kudos
Bookmarks
Initial working rates:
Mary = 1/8 per hour
Hillary = 1/6 per hour
Rate when working together:
Mary = 1/8 + (1/3*1/8) = 3/24 + 1/24 = 4/24 = 1/6 per hour
Hillary = 1/6 - (1/2*1/6) = 2/12 - 1/12 = 1/12 per hour
Together they work 1/6 + 1/12 = 2/12 + 1/12 = 3/12 = 1/4 per hour
So they will need 4 hours to complete the driveway. The correct answer is B.
Mary = 1/8 per hour
Hillary = 1/6 per hour
Rate when working together:
Mary = 1/8 + (1/3*1/8) = 3/24 + 1/24 = 4/24 = 1/6 per hour
Hillary = 1/6 - (1/2*1/6) = 2/12 - 1/12 = 1/12 per hour
Together they work 1/6 + 1/12 = 2/12 + 1/12 = 3/12 = 1/4 per hour
So they will need 4 hours to complete the driveway. The correct answer is B.
General Discussion
02 Feb 2015, 09:53
Kudos
Bookmarks
ans B 4 hrs..
marys one hrs work will become 1/8*(133.33/100)=1/6..
hillarys one hrs work 1/6*1/2=1/12..
combined their one hrs work = 1/6+1/12=1/4
so time taken will be 4 hrs
marys one hrs work will become 1/8*(133.33/100)=1/6..
hillarys one hrs work 1/6*1/2=1/12..
combined their one hrs work = 1/6+1/12=1/4
so time taken will be 4 hrs
