A can make a cupboard in 10 days and B can do it in 50 days. Along with C, they did the job in 6.25 days only. Then in how many days C alone can do the job?

A can make a cupboard in 10 days and B can do it in 50 days. Along with C, they did the job in 6.25 days only. Then in how many days C alone can do the job?

1). 20
2). 25
3). 16
4). 15

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Guest · Answer 1 · 2019-04-21 10:21:30

A’s 1 day work = 1/10

B’s 1 day work = 1/50

Together with C, they did the work in 6.25 days

A’s 1 day work + B’s 1 day work + C’s 1 day work = 1/6.25 = 4/25

⇒ C’s 1 day work = 4/25 - 1/10 - 1/50 = 4/25 - 3/25 = 1/25

∴ C can alone do the job in 25 days

Guest · Answer 2 · 2019-05-18 17:53:36

A’s 1 day work = 1/10

B’s 1 day work = 1/50

Together with C, they did the work in 6.25 days

A’s 1 day work + B’s 1 day work + C’s 1 day work = 1/6.25 = 4/25

⇒ C’s 1 day work = 4/25 - 1/10 - 1/50 = 4/25 - 3/25 = 1/25

∴ C can alone do the job in 25 days

A can make a cupboard in 10 days and B can do it in 50 days. Along with C, they did the job in 6.25 days only. Then in how many days C alone can do the job?

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