Question

a takes 6 days less than the time taken by b to finish a piece of work if both A and B together can finish it in 4 days find the time taken by b to finish the work​

Answer 1

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(If the time it takes  B  is  2  days, then the time it takes  A  is  − 4  days, which has no sense. Therefore, it would take  B  a period of  12  days to finish the job.)

Answer 2

Answer:

no. of days taken by A to finish that work = x

then, no. of days taken by B to finish that work = x+6

now, work done by A in one day = 1/x and work done by B in one day = 1/x+6

now, work done by both A and B in one day,

1/x + 1/x+6 = 1/4

{(x+6)+x}/x(x+6) = 1/4

8x + 24 = x2 + 6x

x2-2x - 24 = 0

x2 -6x +4x -24 = 0

x(x-6) +4(x-6) = 0

(x+4) (x-6) = 0

so, x= 6  (neglecting x = -4)

so, time taken by B to finish the work = x+6 = 12 days