Two friends live 33 miles apart. One friend averages 12 miles per hour and the other averages 10 miles per hour. At what point do they meet?

Question

I’m not sure how to answer it 

Answer 1

distance = rate x time

 

They leave at the same time and travel the same amount of time

until they meet.

 

 distance 1 + distance 2 = 33

 

 rate 1 x t  + rate 2 x t = 33

 

 12*t + 10t= 33  

 

 12t + 10t = 33

 

22t = 33

 

t = 33/22 = 3/2

 

They will meet after 3/2 hr = 1 and 1/2 hr = 1 hour 30 min = 1.5 hr

 

12*1.5  = 18 miles

10*1.5 = 15 miles

Total is 33 miles.

 

The two friends will be 18 and 15 miles away from their respective homes.

They will meet after 1 hour and 30 minutes of travel

Answer 2

d = rt

10t + 12t = 33

22t = 33

t = 1 1/3 = 1 hour, 20 mins