# SOLUTION: Julio rides his bike for 6 mi and gets a flat tire. Then he has to walk with the bike for another mile. His speed walking is 6 mph less than his speed riding the bike. If the total

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Travel -> SOLUTION: Julio rides his bike for 6 mi and gets a flat tire. Then he has to walk with the bike for another mile. His speed walking is 6 mph less than his speed riding the bike. If the total      Log On

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 Click here to see ALL problems on Travel Word Problems Question 603522: Julio rides his bike for 6 mi and gets a flat tire. Then he has to walk with the bike for another mile. His speed walking is 6 mph less than his speed riding the bike. If the total time is 1hr, find his speed riding the bike and his speed walking?Found 2 solutions by josmiceli, stanbon:Answer by josmiceli(9698)   (Show Source): You can put this solution on YOUR website!Let = his speed on the bike Let = his time riding the bike -------- Equation for riding the bike: (1) Equation walking: (2) ---------------------- (2) from (1): (1) Substitute (1) into (2) (2) (2) Multiply both sides by (2) (2) Use the quadratic formula mi/hr and ( this doesn't work, ends up negative ) and mi/hr mi/hr His speed on the bike is 9 mi/hr His speed walking is 3 mi/hr check: (1) (1) hrs (1) hrs and (2) (2) (2) (2) (2) (2) hrs OK Answer by stanbon(57424)   (Show Source): You can put this solution on YOUR website!Julio rides his bike for 6 mi and gets a flat tire. Then he has to walk with the bike for another mile. His speed walking is 6 mph less than his speed riding the bike. If the total time is 1hr, find his speed riding the bike and his speed walking? ------ Bike DATA: distance = 6 miles ; rate = x mph ; time = 6/x hrs ----- Walking DATA: distance = 1 mile ; rate = (x-6) mph ; time = 1/(x-6) hrs ----- Equation: time + time = 1 hr 6/x + 1/(x-6) = 1 Multiply thru by x(x-6) 6(x-6) + x = x(x-6) 6x-36+x = x^2-6x x^2-13x+36 = 0 --- Factor: (x-4)(x-9) = 0 Usable solution: x = 9 mph (bike speed) x-6 = 3 mph (walk speed) ========================== Cheers, Stan H. ==============