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?

Question

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?

vocaloid · Answer

speed = distance/time

car A speed = x/2.4
car B speed = x/4

x/24 = (x/4) + 22

solve for x

anonymous · Answer

ok that kinda helps but i still don't get it...

vocaloid · Answer

we want to find the speed of car A, right?

if we let x = distance, then

speed of car A = x/2.4, with me so far?

anonymous · Answer

yes i'm with you

vocaloid · Answer

and speed of car B = x/4, right?

anonymous · Answer

right

vocaloid · Answer

the problem tells us that car A travels 22 mph faster than car B, so

car A speed = car B speed + 22, right?

anonymous · Answer

i think so

vocaloid · Answer

so we substitute car A speed = x/2.4 and car B speed = x/4 to get

x/2.4 = (x/4) + 22

and solve for x

anonymous · Answer

ok

vocaloid · Answer

so, what does x = ?

anonymous · Answer

is it 132 ?

vocaloid · Answer

yes! so x = distance = 132 miles

all we need to do now is find

speed of car A = x/2.4 = 132/2.4 = 55mph

anonymous · Answer

yay thanks for the help!