Sophia started in groups E and ran at a rate of 5.1 mph she was passed by Luis who ran at a of 5.6 mph and started in group H, 20 minutes after started?

Question

How far did Sophia run before she was passed by Luis?

 

 

Answer 1

S=5.1 mph

L=5.6 mph

d=rt

distance = rate of speed times time

5.1t = 5.6(t-1/3) = 5.6t -5.6/3

.5t = 5.6/3

t = 11.2/3 = about 3.7 hours when Luis catches up to Sophia

5.1(11.2/3) =5.6(10.2/3)

57.12/3 = 57.12/3

they each ran 19.04 miles