Question

A and B can together complete a work in 6 days. If A works alone for two
days and complete 1/4 th of the work, in how many days B alone completethe remaining work?
1) 12 days
2) 10 days
3) 16days
4) 18days​

Answer 1

Answer:

A and B are working together to complete the work in 6 days.

Let x= work required by A to do the job, then

x+5= work required by B

Let the completed job =1

As per the statement.

x

6

+

(x+5)

6

=1

Multiply by x(x+5), cancel the denominators:

6(x+5)+6x=x(x+5)

6x+30+6x= x

2

+5x

x

2

−7x−30=0

On factoring, we get

(x−10)(x+3)=0

x=10 or x=−3

x=10 days

A will take 10 days to complete the work alone.

Step-by-step explanation:

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