Problema Solution
seeta geeta can jointly knit a shawl in 15 days when they wrk seperately.seeta takes 16 days less than the numberof days spent by geeta to knit a shawl.find the number of days taken by geeta to knit the shawl
Answer provided by our tutors
Seeta and Geet's one day work=1/15
Let Geeta's 1 day work be 1/x
Therefore, Seeta's 1 day work=1/(x-16)
Acc to question,
1/15 = 1/x + 1/(x-16)
x^2 - 46x + 240 =0
x^2 - 40x -6x + 240 =0
x(x-40)-6(x=40)=0
(x-6)(x-40)=0
Either x=6 or x=40
x cannot be 6 as Seeta takes x-16 days to complete the work.
Theerfore, x=40
Geeta takes 40 days to complete the work
Seeta takes 24 days to complete the work.