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16 vote

Peeyush has done 1/3rd of a job in 30 days, Sanjiv completes the rest of the job in 60 days. In how many days can they together do the job?

Asked on by | Votes 16 | Views: 1138 | Tags: time and work     | quantitative aptitude     | Add Bounty

Peeyush has done 1/3rd of a job in 30 days, Sanjiv completes the rest of the job in 60 days. In how many days can they together do the job?
1). 15 days
2). 45 days
3). 30 days
4). 10 days


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1 answers

25 vote
Answered by on | Votes 25 |

⇒ Time taken by Peeyush to complete the work = 30 × 3 = 90 days

Rate of doing work of Peeyush = 1/90

⇒ Time taken by Sanjiv to complete the work = 60 × (3/2) = 90 days

Rate of doing work of Sanjiv = 1/90

If both of them worked together

⇒ Then rate of doing work when both worked together = (1/90) + (1/90) = 2/90 = 1/45

∴ time taken to complete the work if they both worked together is 45 days.

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