[20 days] Mary and John can do a piece of work in 24 day; John and Vino in 30 days;Vino and Mary in 40 days. I

For Competitive Exams

Mary and John can do a piece of work in 24 day; John and Vino in 30 days;Vino and Mary in 40 days. If Mary, John and Vino work together they will complete work in ?

10 days

20 days

47 days

45 days

Explanation:

Given that

Mary and John take 24 days; i.e., (Mary + John)`s 1 day`s work = 124124

John and Vino take 30 days; i.e., (John + Vino)`s 1 day`s work = 130130

Vino and Mary take 40 days; i.e., (Vino + Mary)`s 1 day`s work = 140140

Adding above 3 equations, we get,

[(Mary + John) + (John + Vino) + (John + Vino)]`s 1 day`s work = 124+130+140124+130+140

2((Mary + John + Vino)`s 1 days work = 124+130+140124+130+140

2(Mary + John + Vino)`s 1 days work = 5+4+31205+4+3120 = 110110

Therefore, (Mary + John + Vino)`s 1 days work = 120120

i.e., Mary, John and Vino together can complete the work in 20 days.

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