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02 Dec 2020, 12:45
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
81% (02:30) correct
19%
(02:31)
wrong
based on 108
sessions
History
Date
Time
Result
Not Attempted Yet
A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days. The number of days after which A left the work was
A. 12
B. 11
C. 10
D. 9
E. 8
A. 12
B. 11
C. 10
D. 9
E. 8
02 Dec 2020, 14:51
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SOLUTION:
Let total work be LCM(45,40)=360 units
Efficiencies of A & B respectively are 8 and 9 units respectively
Thus together they can complete 8+9=17 units/day
Work completed by B =9*23 =207 units
Rest of the work, which is 360-207=153 units was done by A and B together at the rate of 17 units a day.
Total number of days they would have worked together=153/17 =9
Thus A must have left after 9 days. (D)
Hope this helps
Devmitra Sen
Let total work be LCM(45,40)=360 units
Efficiencies of A & B respectively are 8 and 9 units respectively
Thus together they can complete 8+9=17 units/day
Work completed by B =9*23 =207 units
Rest of the work, which is 360-207=153 units was done by A and B together at the rate of 17 units a day.
Total number of days they would have worked together=153/17 =9
Thus A must have left after 9 days. (D)
Hope this helps
Devmitra Sen
10 Aug 2025, 18:11
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B’s Rate = 1/40
Worked done in 23 Days by B = 23/40
Remaining
1-23/40 = 17/40 (This is work done by A and B)
Combined rate = 1/40 + 1/45 = 17/360
Work done by A and B = Rate of A and B x Time
17/40 = 17/360 * Time
Time = 9 days. Answer is D
Worked done in 23 Days by B = 23/40
Remaining
1-23/40 = 17/40 (This is work done by A and B)
Combined rate = 1/40 + 1/45 = 17/360
Work done by A and B = Rate of A and B x Time
17/40 = 17/360 * Time
Time = 9 days. Answer is D
