Question

5. A, B and C can do a piece of work in 10 days, 12 days and 15 days respectively. How long
will they take to finish it if they work together?
6. A can do a piece of work in 24 hours while B alone can do it in 16 hours. If A, B and C
working together can finish it in 8 hours, in how many hours can C alone finish the work?​

Answer 1

Correct Answer:

In 1 day part of work that A will do = 1/12

In 1 day part of work that B will do = 1/15

In 1 day part of work that C will do = 1/10

In 1 day A, B & C together will do =

1/12 + 1/15 + 1/10

LCM of 12, 15 & 10 is 60

(5 + 4 + 6)/60

= 15/60 = 1/4

Therefore A, B & C together do 1/4 part of work in 1 day

Hence A, B & C together will finish complete work in 4 days.

Answer: 4 days

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