# SOLUTION: (((A cyclist traveled at a rate of 32 MPH to visit a nearby town. The cyclist averaged 10 MPH on the return trip. If the round trip took 6.3 hours, find the distance to the nearb

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Travel -> SOLUTION: (((A cyclist traveled at a rate of 32 MPH to visit a nearby town. The cyclist averaged 10 MPH on the return trip. If the round trip took 6.3 hours, find the distance to the nearb      Log On

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 Click here to see ALL problems on Travel Word Problems Question 224310: (((A cyclist traveled at a rate of 32 MPH to visit a nearby town. The cyclist averaged 10 MPH on the return trip. If the round trip took 6.3 hours, find the distance to the nearby town.))) I have tried and tried to come up with an equation for this word problem but I cannot come up with one. I have found the answer which is 48 miles to the nearby town. But I need the equation and I am not sure how to get to it.Answer by stanbon(57967)   (Show Source): You can put this solution on YOUR website!A cyclist traveled at a rate of 32 MPH to visit a nearby town. The cyclist averaged 10 MPH on the return trip. If the round trip took 6.3 hours, find the distance to the nearby town. ------------------ To-town DATA: rate = 32 mph ; distance = x miles ; time = d/r = x/32 hrs --------------------- From-town DATA: rate = 22 mph ; distance = x miles ; time = d/r = x/22 hrs --------------------- Equation: time + time = 6.3 hrs x/32 + x/22 = 6.3 hrs --- Multiply thru by 32*22 to get: 22x + 32x = 22*32*6.3 54x = 4435.2 x = 82.13.. miles (distance to the town) -------------------------------------------- Cheers, Stan H.