NEEd help quick

Question

Brayden is 252 miles away from Jared. They are traveling towards each other. If Jared travels 8 mph faster than Brayden and they meet after 9 hours, how fast was each traveling?

Answer 1

distance = speed x time

Jared's speed = J=B+8

Jared's distance = D

Brayden's distance = 252-D

time = distance/speed = same for both

D/(B+8) = (252-D)/B = 9

D/(B+8)= 9

D= 9B+72

(252-D)/B = 9

252-D = 9B

subtract

D= 9B+72

252-D= 9B to get

2D-252 = 72

2D = 72+252 = 324

D = 162

252-D = 252-162 = 90 miles

Brayden went 90 miles,

Jared went 162 miles

252-162=9B

90 = 9B

B = 10 mph

J= 18 mph

distance = speed x time

for Jared 162 = 18 x 9 hrs

for Brayden 90 = 10 x 9 hrs

Brayden went 10 mph

Jared went 18 mph