Question

Esmeralda and Diana both leave the restaurant at the same time, but in opposite directions. If Diana travels 5 mph faster than Esmeralda and after 6 hours they are 186 miles apart, how fast is each traveling?

Esmeralda is traveling ________ mph.

Diana is traveling ________ mph.

Answer 1

x = 13

Explanation:

x= Esmeralda's speed

x+5 = Diana's speed

they each travel for 6 hours

speed x time = distance

x(6) + (x+5)(6) = 186

Esmeralda's distance + Diana's distance = total distance

6x+6x+30= 186

(12x = 186-30)

12x = 156

x = 13

Esmeralda travels at 13 mph and Diana travels at 18 mph

(To be completely honest, I'm not sure. I'm not in college so you shouldn't use my answer as a first resort :') )