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1st you must turn the meters into miles or the mph into meters per hour. I will turn the meters into mi. So, 1 meter = 6.214*10^-4 miles. You get the truck's equation is y=70x, the car's equation is y=50x+20*6.214*10^-4 because its 20 meters ahead of the truck.

Set them equal to each other and you get

70x=50x+20*6.214*10^-4 ----> subtract 50x from both sides, and you get:

20x = 20*6.214*10^-4 -------> divide both sides by 20 to leave x with a coefficient of 1:

x = 6.214*10^-4 -----------> that's the portion of an hour which it would take you. If you consider each hour has 60 minutes, you multiply x by 60 and you get the answer in minutes.

60*6.214*10^-4 = 3.72*10^-2 if you multiply that by 60 you get the answer in seconds:

60*3.72*10^-2 =2.23.

So there, it would take the truck 2.23 seconds to get to the car.

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Q: A car traveling 70 mph is 20 meters behind a truck traveling 50 mph how long will it take the car to override the truck?
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