How long would it take her associate

Question

Allison can complete a sales route by herself in 6 hours. Working with an associate, she completes the route in 4 hours. How long would it take her associate to complete the route by herself?

Answer 1

Hi, Laura.

 

So if Allison can complete the route in 6  hours, then her rate is (1/6)t where t is the number of hours she works.

If they work together, their rate is (1/4)t.

Let X be the associate's rate.

 

(1/6)t + Xt = (1/4)t

(1/6) + X = 1/4

multiply the equation by 12:

 

2 + 12X = 3

12X = 1

Therefore X = 1/12

 

Thus, the associate can complete the route by herself in 12 hours.

 

 

Answer 2

Let n be the amount of time it takes for the assistant working alone

Then: 1/45+1/n=1/40

 

8n+360=9n

n=360

It would take the assistant 360 min or 6 hrs to do the route alone.