Respuesta :
Answer:
Steve will take 240 minutes or 4 hours.
Explanation:
Steve and Hillary can mow a lawn in 60 minutes by working together. However, Hillary works three times faster than Steve.
Let's assume Steve takes takes x minutes to mow alone.
This implies that Hillary can mow alone in x/3 minutes.
In a minute, Steve can mow 1/x of the lawn, so this means Hillary can mow 3/x of the lawn.
In a minute together then can mow,
= [tex]\frac{1}{x} + \frac{3}{x}[/tex]
= [tex]\frac{4}{x}[/tex]
In 60 minutes they can mow
= [tex]\frac{4}{x} \times 60[/tex]
= [tex]\frac{240}{x}[/tex]
This means that it takes 4 hours for Steve to mow the lawn alone.
Answer:
Steve can mow the lawn in 240 minutes
Explanation:
It is given Hillary works three times as fast as Steve
When both work together the work is completed in 60 minutes
Let Steve can do 1 work in 1 minute
So Hillary can do 3 work in 1 minute
So work done by both in 1 minute = 1+3 = 4
As they can complete the work in 60 minutes
So total work = 4×60 = 240 work
As Steve can do 1 work in a minute
So time taken by Steve to complete the work [tex]=\frac{240}{1}=240minutes[/tex]
