Bobby and Billy can complete a job in 28 days and 20 days respectively They work together for 5 days...........

Quantitative Aptitude (MTS) Time and work

Bobby and Billy can complete a job in 28 days and 20 days, respectively. They work together for 5 days, after which Billy leaves

the job. In how many days did Bobby alone complete the rest of the job?

This questions was previously asked in

SSC MTS 12th July 2022 Shift-1

View All SSCMTS Previous Year Papers

15 days

20 days

12 days

16 days

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Explanation:

- Work Rates: Bobby completes the job in 28 days, meaning Bobby does 1/28 of the work per day. Billy completes it in 20 days, meaning Billy does 1/20 of the work per day.

- Combined Work: Together, Bobby and Billy can complete 1/28 + 1/20 = 12/140 = 3/35 of the job per day.

- Five Days of Collaboration: In 5 days, they complete 5 * 3/35 = 15/35 = 3/7 of the job.

- Remaining Work: After 5 days, 1 - 3/7 = 4/7 of the job is left.

- Bobby's Completion Time Alone: Bobby continues alone, completing 1/28 of the job each day. To finish 4/7 of the job, it takes (4/7) / (1/28) = 16 days.

- Correct Option: Option 4: 16 days.