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04 Apr 2017, 05:30
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
96% (00:43) correct
4%
(01:22)
wrong
based on 136
sessions
History
Date
Time
Result
Not Attempted Yet
Last year, Larry changed all of the curtains in the house in 6 hours. Ken could do the same task in half the time. How long would it take them if they were to cooperate to complete the task?
A. 1.5 hours
B. 2 hours
C. 3 hours
D. 4.5 hours
E. 9 hours
A. 1.5 hours
B. 2 hours
C. 3 hours
D. 4.5 hours
E. 9 hours
04 Apr 2017, 08:39
Kudos
Bookmarks
Larry 6 hours is ---- 100%
Ken. 3 hours is ---- 100%
Therefore,
Larry would complete 100/6 16.67% of the job per hour
And Ken would complete 33.33% of the job every hour
Therefore,it goes like this
....................Larry. Ken. Total
1st hour 16.67% 33.33% 50%
2nd hour 16.67% 33.33% 50%
Total. 33.34% 66.66%
Therefore, it would take two hours
Ken. 3 hours is ---- 100%
Therefore,
Larry would complete 100/6 16.67% of the job per hour
And Ken would complete 33.33% of the job every hour
Therefore,it goes like this
....................Larry. Ken. Total
1st hour 16.67% 33.33% 50%
2nd hour 16.67% 33.33% 50%
Total. 33.34% 66.66%
Therefore, it would take two hours
04 Apr 2017, 08:59
Kudos
Bookmarks
Bunuel
Let's assign a nice value to the ENTIRE job of changing curtains. We want a value that works well with 6 hours and 3 hours.
Let's say the ENTIRE job of changing curtains consists of changing 12 curtains.
Larry changed all of the curtains in the house in 6 hours
If it takes 6 hours to change 12 curtains, then Larry's rate = 2 curtains/hour
Ken could do the same task in half the time (aka 3 hours)
If it takes 3 hours to change 12 curtains, then Ken's rate = 4 curtains/hour
So, their COMBINED rate = 4 + 2 = 6 curtains/hour
How long would it take them if they were to cooperate to complete the task?
Time = output/rate
= 12/6 = 2 hours
Answer:
Cheers,
Brent
