Pooja and Ritu can do a piece of work in (120/7) days If one day work of Pooja be - Maths - Simultaneous Linear Equations

Question

Pooja and Ritu can do a piece of work in (120/7) days If one day
work of Pooja be three fourth of one day work of Ritu, find in how
many days each will do the work alone

Yokesh K C · Accepted Answer

Dear Student,

Pooja and Ritu can complete a peice of work in 1207 days
The amount of work Pooja and Ritu complete in a day = 11207                                                                                 = 7120Let one day work of Ritu be x
Then one day work of Pooja = 34x
Total work in one day = x+3x4=7x4=71207x4=7120x=4120x=130
Therefore,Amount of work done by Ritu in one day = 130Number of days in which Ritu alone can complete the work =1130 =30
Amount of work done by Pooja in one day = 34×130=140Number of days in which Pooja alone can complete the work =1140 =40
So Ritu can complete the work alone in 30 days and Pooja can completethe work alone in 40 days

Regards

Pooja and Ritu can do a piece of work in (120/7) days. If one day work of Pooja be three fourth of one day work of Ritu, find in how many days each will do the work alone