Question

For the same amount of work A takes 6hours less than B .If both can complete the work in 13 hours and 20 minutes .Find the time taken by B to complete the work​

Answer 1

Step-by-step explanation:

B alone will take 30 hours to complete the work

A will take 30-6= 24 hours to complete the work

Step-by-step explanation:

let the time taken by  B = x hours

let the time taken by A =( x-6)hours

let A's one day work=1/x

B's one day work = 1/x-6

1/x+1/x-6=3/40

2x-6/x^2-6x = 3/40                           (on taking L.C.M)

On solving we get

3x^2 -98x +240 = 0

3x^2 -90x-8x +240 =0

3x(x-30) -8(x-30) =0

(x-30) (3x-8) =0                            

x=30 hours                                      (zero product rule)

Answer 2

Answer:

Step-by-step explanation: