A startod a work and loft working after 8 days now B
finished the remaining work in 15 days. Had A left
the work after working for 12 days then B would
have finished the remaining work in next 12 days.
Then find in how many days A can complete the
work. ?
Answers
Step-by-step explanation:
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GMAT Club Forum Index Problem Solving (PS)
A started a work and left after working for 2 days. Then B did the rem : Problem Solving (PS)
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Bunuel
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Jan 28, 2019
00:00ABCDE
DIFFICULTY: 45% (medium) QUESTION STATS: based on 107 sessions
68% (02:23) correct
32% (02:34) wrong
A started a work and left after working for 2 days. Then B did the remaining work in 9 days. Had A left the work after working for 3 days, B would have finished the remaining work in 6 days. In how many days can each of them working alone, finish the whole work?
A. A = 5 days and B = 15 days
B. A = 7 days and B = 21 days
C. A = 8 days and B = 18 days
D. A = 4 days and B = 12 days
E. A = 15 days and B = 15 days
Spoiler: OA
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Mo2men
Jan 28, 2019
Bunuel wrote:
A started a work and left after working for 2 days. Then B did the remaining work in 9 days. Had A left the work after working for 3 days, B would have finished the remaining work in 6 days. In how many days can each of them working alone, finish the whole work?
A. A = 5 days and B = 15 days
B. A = 7 days and B = 21 days
C. A = 8 days and B = 18 days
D. A = 4 days and B = 12 days
E. A = 15 days and B = 15 days
Let the Rate of A = RA & the Rate of B = RB
2RA + 9RB = 1..............1
3RA + 6RB = 1..............2
equation 1 & 2
2RA + 9RB = 3RA + 6RB.............RA = 3RB
From 3 in 1
6RB + 9RB = 1.........15RB =1...........RB = 1/15..........Time taken by B alone = 15 days
RA= 3 * 1/15 = 1/5..........Time taken by A alone = 5 days