Respuesta :
I think that would mean y=1, since Jack can get the job done in 3 hours. If Fred can get it done in 1 hour, then that would subtract an hour off of Jack's work. 3 hours - 1 hour = 2 hours.
The value of y is 6 hours. So, Fred can alone finish the work in 6 hours.
What is the rate of work done?
The rate of work done means the work done in a unit time.
What is the formula for rate of work done?
work done = Time taken × rate of work
Or
Rate of work = 1/ time take
According to the given question.
Work finished by Jack only, in 3 hours.
⇒ The rate of work done by Jack = [tex]\frac{1}{3}[/tex]
Work finished by Fred only, in y hours.
⇒ The rate of work done by Fred = [tex]\frac{1}{y}[/tex]
Together they can finish the work in 2 hours.
⇒ Rate of work done by jack and Fred = [tex]\frac{1}{2}[/tex]
⇒ [tex]\frac{1}{3} + \frac{1}{y} = \frac{1}{2}[/tex]
⇒ [tex]\frac{y + 3}{3y} = \frac{1}{2}[/tex]
⇒ [tex]2y + 6 = 3y[/tex]
⇒ [tex]y = 6hours[/tex]
Hence, The value of y is 6 hours. So, Fred can alone finish the work in 6 hours.
Find out more information about rate of work done here:
https://brainly.com/question/20348660
#SPJ2
