Two motorcyclists start at the same point and travel in opposite directions. One travels 10 mphfaster than the other. In 2 hours they are 224 miles apart. How fast is each traveling?
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Two motorcyclists start at the same point and travel in opposite directions. One travels 10 mphfaster than the other. In 2 hours they are 224 miles apart. How fast is each traveling?
MC1 rate = x mph
MC2 rate = (x + 10) mph
time = 2 hr
2 • (x) + 2 • (x + 10) = 224
2x + 2x + 20 = 224
4x + 20 = 224
4x = 204
x = 51 mph MC1
51 + 10 = 61 mph MC2
check answer
MC1 ... 2 • 51 = 102 miles one direction
MC2 ... 2 • 61 = 124 miles the other direction
MC1 + MC2 = 224 miles apart
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