Please help me....
Two cars are starting from positions that are 20 miles apart. They are both headed for the same intersection, as depicted in the diagram below. Car A is traveling at 30 mph, and Car B is traveling at 45 mph. Which car will reach the intersection first?
1. Use the law of cosines to determine how far Car B has to travel to reach the intersection.
My answer:28.05
II. Use distnace=rate*time to determine the time necessary for Car A to reach the intersection. Round your answer to the nearest hundredth of an hour.
I got stuck.
III. Use distnace=rate*time to determine the time necessary for Car B to reach the intersection.
Also got stuck.
IV. Which car reaches the intersection first, and by how many hours?
Stuck, too.
Please help me.
Thank you very much. I appreciate it.
***The diagram is a traingle with the angle on the bottom left measuring 95 degrees. Car A will travel from that point 18 miles to get to the intersection which is the top of the triangle. Car A and Car B are 20 miles apart. the bottom right angle is unknown, but the distance from it to the intersection is what I found which is 28.05 miles. The two cars will both meet at the intersection. I could not upload a photo to jishka, but i did my best describing it. thank you for your help.
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2 answers

60t + 55t = 1
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You know car A's distance and speed. Since
distance = rate * time,
18 = 30 * time
time = 18/30 hours
Do likewise for car B
The figure the time difference. 👍
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