Question

A and B working together can complete a work is 6 days. If A works alone, He will take 5 days less than B to complete. Find the time taken to complete work alone?

solve by process ​

Answer 1

Answer:

A & B working together do work in 6 days.

A takes 5 days less than B.

Step-by-step explanation:

Let B takes x

⇒A=x−5

x

1

+

x−5

1

=

6

1

x

2

−5x

x−5+x

=

6

1

12x−30=x

2

−5x

x

2

−17x+30=0

x

2

−15x−2x+30=0

x(x−15)−2(x−15)=0

(x−2)(x−15)=0

⇒x=2 or x=15

As, x<5 so x=15

then A=10 days &B=15 days

Answer 2

Answer:

Time taken by A and B to finish the work - 6 days.

(A and B)'s one day's work 1 /6

Time taken by B alone to finish the work = 5 days.

B's one day's work =1/5

A's one day's work + B's one day's work (A + B)'s one day's work

A's one day's work=( 1/6-1/5) =1/30

:. A alone can finish the work in 30days.