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23	24	25	26	27	28	29
30	31	1	2	3	4	5

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Multiple Choice Questions

Shyam can do a job in 20 days Ram in 30 days and Singhal in 60 days If Shyam is helped by Ram and Si...........

Quantitative Aptitude ( Phase -I) Time and work

Shyam can do a job in 20 days, Ram in 30 days and Singhal in 60 days. If Shyam is helped by Ram and Singhal every 3^rd day, how long will it take for them to complete the job?

10 days

12 days

15 days

18 days

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Explanation:

Shyam completes the job in 20 days. So, Shyam does 1/20th of the job in a day.
Ram completes the job in 30 days. So, Ram does 1/30th of the job in a day.
Singhal completes the job in 60 days. So, Singhal does 1/60th of the job in a day.

As Shyam is helped by Ram and Singhal every third day, Shyam works for 3 days while Ram and Singhal work for 1 day in every 3 days.
If in 1 day Shyam completes 1/20

th of the job, in 3 days he will complete 3/20th of the job.
Therefore, the amount of work done in 3 days by Shyam, Ram and Singhal = 3/20 + 1/30 + 1/60
= 9+2+1 /60 = 12 /60 = 15^th of the job in 3 days.
Hence, it will take them 5 times the amount of time = 3 * 5 = 15 days to complete the entire job.