This is a comparing base question . We have to compare here both of their works and determine who's work is more efficient by taking LCM of 7/10 and 9/15.
Now the man can do 7/10 parts of piece of a work in a day and The wife can do 9/15 part of the same work in a day.
Now we shall take the LCM of 10 and 15 which is 30 then we have
![(7)/(10)=(7*3)/(10*3)=(21)/(30),\text{ }(9)/(15)=(9*2)/(15*2)=(18)/(30)](https://img.qammunity.org/2023/formulas/mathematics/college/5k9gozdlcsjnou0vz9pycafwqdl9p7p6p0.png)
So we get
![(21)/(30)>(18)/(30)](https://img.qammunity.org/2023/formulas/mathematics/college/bkyvl35dfhxvtkvoeolxeq97pu0ab5mgo2.png)
Hence the man has better working efficiency than his wife.