Question

A takes thrise as long to do a piece of work as B takes. A and B together
can finish a piece of work in 15 days. How long will A alone take to finish the work.​

Answer 1

Answer:

Correct option is D)

Suppose A,B and C take x,

2

x

​

 and  

3

x

​

 days respectively to finish the work.

Then, (

x

1

​

+

x

2

​

+

x

3

​

)=

2

1

​

∴

x

6

​

=

2

1

​

∴x=12

So, B takes  

2

12

​

=6 days to finish the work.

Step-by-step explanation:

Answer 2

Answer:

Let the work A does is x

then the work a does as compared to b = 3x

they both completed a work in 15 days so

3x+b=15

3x=15-b

x= 15-b/3

B here would be 7 1/2

the formula would be 15-7.5/3

= 15 - 2.5

= 13.5

So A would take 13-14 days to complete the same task alone.