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
So we get
Hence the man has better working efficiency than his wife.