Question

A landscaper can mow a lawn in about 2 hours. When the landscaper works with a helper, the job takes about 1.5 hours. How long would it take the helper to mow the lawn by himself

Answer 1

It take the helper 6 Hours to mow the lawn by himself

Explanation:

Given:

Time Taken by the landscaper to mow the land = 2 hours

Time Taken When the landscaper works with a helper = 1.5 hours

To Find :

Time Taken by the helper to mow the lawn by himself

Solution:

The General formula is

`(1)/(X) + (1)/(Y) = (1)/(Z)`

where

X is time taken by the landscaper

Y is the time taken by the helper

Z is Time Taken by both the landscaper and the helper together.

Substituting the values

`(1)/(2) + (1)/(Y) = (1)/(1.5)`

`(1)/(1.5) - (1)/(2) = (1)/(Y)`

By cross multiplication

`((2-1.5))/((1.5 * 2)) = (1)/(Y)`

Now,

`Y = (3.0)/(0.5)`

Y = 6