Question

FIRST PERSON TO ANSWER GETS BRANILYEST

Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2.4 h, and Car B traveled the distance in 4 h. Car A traveled 22 mph faster than Car B.
How fast did Car A travel?
(The formula
R⋅T=D
, where R is the rate of speed, T is the time, and D is the distance can be used.)

Answer 1

Car A Car B

d=rt d = rt

d = ra * 2.4 d = rb 4

ra = rb+22

distances are the same so set the equations equal

ra * 2.4 =rb *4

substitue in for ra

(rb+22) 2.4 =rb *4

distribute

2.4 rb +52.8 = 4 rb

subtract 2.4 rb from each side

52.8 = 1.6 rb

33 = rb

Car b travels at 33 miles per hour

Car a = 33+22

Car a = 55 miles per hour