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18 vote

 A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

Asked on by | Votes 18 | Views: 662 | Tags: quantitative aptitude     | time and work     | Add Bounty

 A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

A). 50 days

B). 60 days

C). 70 days

D). 80 days


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1 answers

17 vote
Answered by on | Votes 17 |

60 days



A + B’s 1 day’s work = 1/30 

i.e. A + B = 1/30 --------- (i) 

16 A + 44 B = 1 ------ (ii) ( i.e. 1 = the whole work done) 

Multiplying (i) by 16 and subtracting it from (ii), we get 

i.e. 16 A + 44 B = 1 

16 A + 16B = 8/15 

28 B =7/15 

B = 1/60 i.e. B’s 1 day’s work = 1/60 

Therefore, B alone can finish the work in 60 days.

Accepted Answer

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