SOLUTION: Hillary's Lexus travels 30 mph faster than Bill's Harley. In the same time that Bill travels 75 mi, Hillary travels 120 mi. Find their speeds.

Question 202767: Hillary's Lexus travels 30 mph faster than Bill's Harley. In the same time that Bill travels 75 mi, Hillary travels 120 mi. Find their speeds.
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
"Hillary's Lexus travels 30 mph faster than Bill's Harley" ___ HL = BH +30

time = distance / rate

"In the same time that Bill travels 75 mi, Hillary travels 120 mi" ___ 75 / BH = 120 / HL

"cross" multiplying ___ 75 HL = 120 BH

substituting ___ 75 (BH + 30) = 120 BH ___ 75 BH + 2250 = 120 BH ___ 2250 = 45 BH ___ 50 = BH

substituting ___ HL = 50 + 30 ___ HL = 80
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