SOLUTION: A military helicopter traveled at 140 mph. A motorcycle traveled at 60 mph. The motorcycle traveled for three hours longer than the helicopter and went 100 miles farther than the h
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Question 656459: A military helicopter traveled at 140 mph. A motorcycle traveled at 60 mph. The motorcycle traveled for three hours longer than the helicopter and went 100 miles farther than the helicopter. How far did the motorcycle travel? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A military helicopter traveled at 140 mph. A motorcycle traveled at 60 mph. The motorcycle traveled for three hours longer than the helicopter and went 100 miles farther than the helicopter. How far did the motorcycle travel?
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Helicopter DATA:
rate = 140 mph ; distance = x miles ; time = d/r = x/140 hrs
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Motorcycle DATA:
rate = 60 mph ; distance = x + 100 miles ; time = d/r = (x+100)/60 hrs
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Equations:
time - time = 3 hrs
(x+100)/60 - (x/140) = 3
140(x+100) - 60x = 3*60*140
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140x + 14000 - 60x = 3*60*140
80x = 11200
x = 140 miles (helicopter distance)
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x+100 = 240 miles (motorcycle distance)
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Cheers,
Stan H.
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