Word problem

Question

Although flight speed is dependent upon the weather and the wind, in general, a Canada goose can fly about 10mph faster than a great blue heron. In the same time that a Canada goose travels 120 miles, a great blue heron travels 80 miles. Find their flying speeds. (Hint: remember that distance = rate x time) 

 

Note: Please write every step taken without leaving anything out. I am a visual learner so I need to see every single step. 

Answer 1

G=10+H

geese fly 10 mph faster than the heron

d=rt

a goose flies 120 miles in the same time that a heron flies 80 miles

120 =Gt

80 = Ht

multiply 1st equation by H and 2nd by G, then subtract

120H = GHt

80G = GHt

120H-80G = 0

substitute H+10 for G

120H = 80G = 80(H+10) = 80H +800

40H = 800

divide by 40

H = 20 mph

G= H+10 = 20+10 = 30 mph

G=30

t= 120/30 = 4 hours

t = 80/20 = 4 hours

both flew for 4 hours. The goose flew 120 miles at 30 mph

The heron flew 80 miles at 20 mph