SOLUTION: It took cindy 2 hours to bike from abbott to benson at a constant speed. the return trip took only 1.5 hours because she increased her speed by 6 km/h. how far apart are abbott an

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Question 523791: It took cindy 2 hours to bike from abbott to benson at a constant speed. the return trip took only 1.5 hours because she increased her speed by 6 km/h. how far apart are abbott and benson?
I would like to know how you would solve a problem like this using the distance formula: speed*time=distance
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
It took cindy 2 hours to bike from abbott to benson at a constant speed. the return trip took only 1.5 hours because she increased her speed by 6 km/h. how far apart are abbott and benson?
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A to B DATA:
time = 2 hrs ; rate = r kmh ; distance = r*t = 2r km
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B to A DATA:
time = 1.5 hrs; r+6 kmh ; distance = r*t = 1.5(r+6) km
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Equation:
distance = distance
2r = 1.5(r+6)
2r = 1.5r + 9
0.5r = 9
r = 18 kmh
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Distance from A to B = 2r = 2*18 = 36 km
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cheers,
Stan H.