Setting up the equation for a word problem

[EandH]

Dr. Taylor can see 10 patients in 5 hours. At this rate, how long would it take him to see 40 patients?
I'm not sure how to set this up. I tried 50-10x=40, but the answer is 1, and that can't be it. What am I missing?

 

[masters]

Dr. Taylor can see 10 patients in 5 hours. At this rate, how long would it take him to see 40 patients?
I'm not sure how to set this up. I tried 50-10x=40, but the answer is 1, and that can't be it. What am I missing?

Hi EandH,

Try looking at this as a proportion. 10 Patients to 5 Hours would be equivalent to 40 Patients to H Hours.

\(\displaystyle \frac{Patients}{Hours}=\frac{10}{5}=\frac{40}{H}\).

Now solve for H.

 

[EandH]

20!, Thanks so much!