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17 Mar 2017, 03:09
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Each of two carpenters, A and B, is working to build bookshelves. A, working alone, can complete the job in 10 hours. If B, working alone, can complete the job in 6 hours, how long will it take A and B working together to complete the job?
A. 15/4 hours
B. 15/2 hours
C. 8 hours
D. 39/4 hours
E. 16 hours
A. 15/4 hours
B. 15/2 hours
C. 8 hours
D. 39/4 hours
E. 16 hours
17 Mar 2017, 12:22
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A, working alone, can complete the job in 10 hours --> Rate for A = Total Work/10
B, working alone, can complete the job in 6 hours --> Rate for B = Total Work/6
Combined Rate for A and B = Total Work/10 + Total Work/6
Time taken to complete Total work together:
(Total Work/10 + Total Work/6) * Time = Total Work
Time * (6+10)/60 = 1
Time = 60/16 = 15/4 hrs.
Answer is A. 15/4 hours
B, working alone, can complete the job in 6 hours --> Rate for B = Total Work/6
Combined Rate for A and B = Total Work/10 + Total Work/6
Time taken to complete Total work together:
(Total Work/10 + Total Work/6) * Time = Total Work
Time * (6+10)/60 = 1
Time = 60/16 = 15/4 hrs.
Answer is A. 15/4 hours
17 Mar 2017, 13:06
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1/6 + 1/10
5/30 + 3/30
8/30
30/8
15/4 which is answer A
5/30 + 3/30
8/30
30/8
15/4 which is answer A
