Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2 h, and Car B traveled the distance in 1.5 h. Car B traveled

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Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2 h, and Car B traveled the distance in 1.5 h. Car B traveled 15 mph faster than Car A. How fast did Car B travel?

 

Let the distance travelled be x 

Car A travels  x/2    mph

Car B travels  x/1.5 = 3x/2  mph

 

now

x/2     +   15    =     3x/2

 

\(\;\;\;\;\frac{x}{2}+15=\frac{x}{1.5}\\ 6(\frac{x}{2}+15)=6(\frac{x}{1.5})\\ 3x+90=4x\\ 90=x\\ x=90 \;miles\)

Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2 h, and Car B traveled the distance in 1.5 h. Car B traveled 15 mph faster than Car A. How fast did Car B travel?

 

Distance travelled=90 miles

90/2=45mph the speed of car A

90/1.5=60mph the speed of car B