Question

A B C can complete a work in 24days,15 days and 10 days respectively.If A and B start the work together and worked for 3 days,then how many days C alone will take to finish the work​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given, A, B and C can complete the work in 24, 15 and 10 days respectively.

So, totel days they need to complete the work is 120 (LCM of 24, 15 & 10)

Since they need 120 days to complete the work, we can say that

A works 5units per day.

B works 8units per day.

and, C works 12units per day.

Given that, A and B start the work together and worked for 3days.

A and B can do (8+5)= 13units per day, when they work together

In 3 days, A and B will complete (13x3)=39units

After 3 days, the remaining will be = (120 - 39)= 81units

Since, C works 12units per day. Therefore, the remaining 81units will be done in (81/12) = 6¾ days

Ans: C will complete the work alone in 6¾ days or 6days 18hours

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