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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)

Answer :

Unknow1
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

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