Two drivers are 420 miles away from each other when they started moving towards each other. They meet after 4 hours. What is the
speed of the first car, if the second car's speed is 45 mph?
1 answer:
The first car is going 60 miles per hour because if the second car is going at 45 mph, after 4 hours it has already travelled 180 miles. In order for both cars to meet from a total distance of 420 miles, the first car has to travel 420 miles - 180 miles meaning that the first car travelled 240 miles. When you look back at how it took 4 hours for both cars to meet each other, this also means that the first car traveled 4 hours. So the car traveled 240 miles in 4 hours meaning that it went 240miles/4hours or 60mph.
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Answer: C.
Step-by-step explanation:
1. You have the following division:
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2. To solve this division, you must multiply the numerator and the denominator by the conjugate of the denominator, as following:
3. Keeping on mind that , you have:
4. Simplifying:
5. The result is: