The distance between the cities Atlanta and Indianapolis is 540 miles in motorcycle speed is 40 mph for a car to take 2.25 hours less to cover the same distance and open the motorcycle how long does it take them to me if they start moving towards each other simultaneously
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Motorcycle will complete the 540 mile trip in 11.25 hr.
The car will complete it 2.25 hours less, or 9 hours.
The speed of the car therefore is 540/9 = 60 mph.
60t + 48t = 540
108t = 540
t = 5
So they will meet in 5 hours, after which time the motorcycle will have traveled 48*5 = 240 miles
and the car will have traveled 60*5 = 300 miles.
The car will complete it 2.25 hours less, or 9 hours.
The speed of the car therefore is 540/9 = 60 mph.
60t + 48t = 540
108t = 540
t = 5
So they will meet in 5 hours, after which time the motorcycle will have traveled 48*5 = 240 miles
and the car will have traveled 60*5 = 300 miles.
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