Sun	Mon	Tue	Wed	Thu	Fri	Sat
23	24	25	26	27	28	1
2	3	4	5	6	7	8
9	10	11	12	13	14	15
16	17	18	19	20	21	22
23	24	25	26	27	28	29
30	31	1	2	3	4	5

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Multiple Choice Questions

A B and C can alone complete a work in 10 12 and 15 days respectively A and C started the work and a...........

Quantitative Aptitude(Banking) Time and work

A, B and C can alone complete a work in 10, 12 and 15 days respectively. A and C started the work and after working for 4 days, A left and B joined. In how many days the total work was completed?

6( 5/9) days

6( 2/9 )days

6 days

5 (4/9) days

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Explanation:

Answer & Explanation
6 2/9 days
Explanation:
(A+C) = (1/10 + 1/15) = 1/6. They worked for 4 days so did (1/6)*4 = 2/3rd of work
Remaining work = 1 – 2/3 = 1/3
Now A left , B and C working
(B+C) = (1/12 + 1/15) = 9/60 = 3/20. They worked for x days and completed 1/3rd of work so (3/20)*x = 1/3, so x = 20/9 days
Total = 4 + 20/9

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