Question 1187050
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The cyclist, traveling at 20mph for 2 hours before the car starts, has a head start of 40 miles.<br>
Once the car starts, the difference between the speeds of the car and the cyclist is 45-20 = 25mph.<br>
The number of hours the car will take to overtake the cyclist is equal to the DIFFERENCE in the distances divided by the DIFFERENCE in the speeds:<br>
40/25 = 8/5 = 1.6<br>
The car traveling 8/5 hours at 45mph will travel (8/5)(45)=(8)(9)=72 miles<br>
ANSWER: The care will overtake the cyclist 72 miles from the starting point.<br>