Latest L&T Aptitude Question SOLUTION: A can do a piece of work in 5 days. B can do it in 8 days. With the assistance of C they completed the work in 3 days. Find in how many days can C alone do it?

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A can do a piece of work in 5 days. B can do it in 8 days. With the assistance of C they completed the work in 3 days. Find in how many days can C alone do it?

Asked In L&T Devendra Marghade (5 years ago)

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AASHRAY AJAY SHARMA  (5 years ago)

Answer is C alone can do the piece of work in 120 days.
Let the no.of days that C can finish the work be x
Then, A+B+C=3 days
(1/5)+(1/8)+(1/x) = (1/3) => x=120.

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Kumar  (5 years ago)

A can do the piece of work in 5 days, so A can complete 1/5 of the work in one day.
B can do it in 8 days, so in one day B can complete 1/8 of the work.
If A, B and C together can complete the work in 3 days. So in 1 day they together must do 1/3 rd of the work.
But in one day A can do only 1/5 of the work and b can do only 1/8 of the work. So the rest must be done by C.
i.e (1/3) - (1/8) - (1/5) = 1/C (one day's work of C)
=> 1/C = (40 - 15 - 24)/120 = 1/120 of the work.
Thus in 1 day C can do 1/120 of the work.
So C alone can complete the work in 120 days.

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jeni  (5 years ago)

LCM of 8,5 is 40
40 unit of work
A-8 unit
B-5 UNIT
C- 3UNIT
A+B+C=16
40-16=24
24/3 = 8 DAYS

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