Mathematics, 16.09.2019 21:20 LindaCat78
Two motorcycles leave home at the same time, heading directly toward each other. they are a total of 196 miles apart. the first motorcycle travels at 65 miles per hour. the second motorcycle travels at 75 miles per hour. how long will it take for the two motorcycles to meet?
1.4 hours
2.4 hours
19.6 hours
5.2 hours
Answers: 3
is the position at the instant t, 
is the initial position, v is the speed in miles per hour and t is the time in hours.
for the position of the first motorcycle and 
for the position of the second motorcycle. They are going to meet at the instant t in which
. The first motorcycle travels at 65 miles per hour. I am going to say that motorcycle 1 travels in the positive direction, so 
. So, the equation for the position of motorcycle 1 is:
. Since the motorcycle one travels in the positive direction, the second is traveling in the negative direction, at 75 miles per hour, so 
. So, the equation for the position of motorcycle 2 is:
hours
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