Question

6.
A can do a piece of work in 24 days .Same work is completed in 30 days by B.
If A started the work, and after 6 days B joined A to finish the work. In how
many days after B joined A, they will complete the work?
B.
C.
D.
E.
A.
13
days
7
days
10
days
9
days
12
days

Answer 1

Answer:

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Step-by-step explanation:

10 days.

LCM of 24 & 30 is 120.

So, total 120 work is there, A completes in 24 days, then A's work for single day is 5 work. B completes the same 120 work in 30 days, then B is doing 4 works for single day.

Now A works for 6 days (6*5) = 30 works

Remaining work is 90(120–30) which is shared by A & B.

Total work for single day by A and B is 9.

If there are 90 works then it will take 10 days for both A and B to complete it.