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Question

Pooja and Ritu can do a piece of work in 1717 days. If one day work of Pooja be three fourth of one day work of Ritu; find in how many days each alone will do the work.

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Solution

Let Puja complete the work in x x x days.

Work done by Puja in one day =1x

Again, let Ritu complete the entire work alone in y yy days.

Work done by Puja in one day =1y

We also know that both Ritu and Puja complete the entire work together in 1717 days.

=1207 days

Work done by Puja and Ritu in one day =11207=7120

i.e.,

1x+1y=7120 ---(1)

It is given that, one day work of Pooja be three fourth of one day work of Ritu.

y=34x

1y=43x --(2)

from (1),

1x+1y=7120

1x+43x=7120

3+43x=7120

73x=7120

3x=120

x=1203

x=40 --(3)

and, y=34x

y=34×40

y=30 ---(4)

Pooja will complete the work in 40 days and Ritu will complete the work in 30 days.


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