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LiRa [457]
4 years ago
9

A car travels 200 miles in the same time that a train travels 300 miles. The speed of the train is 20 miles per hour more than t

he speed of the car. Which equation could be used to determine the speed of the car, r, in miles per hour?
Mathematics
1 answer:
scZoUnD [109]4 years ago
6 0
The equation is 
time= distance/rate
and the train is going 300 miles 
the car is going 200 miles
the train goes 20 miles faster than the car
fitting the numbers into the equation 
200/r=300/(r+20)
cross multiply 
200/r = 300/(r+20)
200(r+20) = 300r 
distributive property 
4000+200r=300r
subtract 200r from both sides to add like terms 
4000=100r 
divide 100 from each side to get r by itself
40 = rate of car
60 = rate of train
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