Ashoe repairman is working with his assistant, who takes 1.5 times as long to repair a pair of shoes. together they can fix 20 pairs of shoes in an eight-hour day. how long does it take the repairman to fix one pair of shoes by himself?

Step-by-step explanation:

Let x be the time taken by the shoe repairman to repair 20 pairs of shoes and 1.5 x be the the time taken by his assistant to repair the shoes.

Since they took 8 hours to complete the whole job , so we have the following equation:-

i.e. Time taken by shoe repairman to repair 20 pairs of shoes  =

By unitary method ,

Then, Time taken by shoe repairman to repair 1 pair of shoes  =

Hence, Time taken by shoe repairman to repair 1 pair of shoes =

1/5^2 = 7.56/45