Question

An experienced landscaper can landscape garden with an area of 60sq.m thrice as fast as an apprentice. Working together, it takes the landscapes 6 days. How long would it take the apprentice working alone?

Answer 1

It will take the apprentice 24 days working alone

Explanation:

Let the number of days it takes the apprentice be x

It will take the landscaper x/3 ( since he is three times faster)

The rate for both will be 60/6 = 10 sq m per day

Rate for apprentice is 60/x

rate for the boss is 60/x/3 = 180/x

Adding the rates together;

60/x + 180/x = 10

240/x = 10

240 = 10x

x = 240/10

x = 24 days