Question 1209421
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Between 11am and noon, car A travels 60 miles (1 hour at 60mph). So at noon, when car B starts traveling, the two cars are 400-60 = 340 miles apart.<br>
The ratio of the speeds of the two cars is 60:75 = 4:5, so when the cars meet car A has traveled 4/9 of the remaining 340 miles and car B has traveled 5/9 of that distance.<br>
So the distance from Los Angeles that car B is when the cars meet is 5/9 of 340 miles.<br>
(5/9)340 = 1700/9<br>
Car B is 1700/9 miles from Los Angeles when the cars meet, and Fresno is 150 miles from Los Angeles. The distance from Fresno when the cars meet is then<br>
1700/9 - 150 = 1700/9 - 1350/9 = 350/9 = 38 8/9 miles or about 38.9 miles.<br>
ANSWER: The two cars are (about) 38.9 miles north of Fresno when the cars meet.<br>