Currently, the Toyota Corolla is the best selling car in the world. Suppose that during a test drive of two Corollas, one car travels 224 miles in the same time that the second car travels 175 miles. If the speed of the firstvcar is 14 miles per hour faster than the speed of the second car, find the speed of both cars. (Source:Top Ten of Everything)

Time = t = ?

Distance 1 = d1 = 224 miles

Distance 2 = d2 = 175 miles

speed1 = v1 = d1/t

speed2 = v2 = d2/t

Also, speed 1 = 14 + v2 (Given in the data)

OR speed 1 = 14 + d2/t

speed 1 = 14 + 175/t

224/t = 14 + 175/t

multiplying both sides (each term) by "t" we get

224 = 14t + 175

OR 14t = 49

t = 3.5 hours

now, speed of 1st car = 224 miles / 3.5 hours

= 64 miles / hour

and speed of 2nd car = 175 miles / 3.5 hours

= 50 miles / hour