SOLUTION: Sanjay drove 570km from Regina to Winnipeg in 6.5 h. He drove part of the way at 100km/h and the rest of the way at 60km/h. How far did he drive at each speed?

Question 468957: Sanjay drove 570km from Regina to Winnipeg in 6.5 h. He drove part of the way at 100km/h and the rest of the way at 60km/h. How far did he drive at each speed?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Sanjay drove 570km from Regina to Winnipeg in 6.5 h. He drove part of the way at 100km/h and the rest of the way at 60km/h. How far did he drive at each speed?
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distance/rate = time
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Equation:
x/(100 km/h) + (570-x)/60km/h = 6.5 hours
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60x + 100(570-x) = 6.5*100*60
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-40x + 57000 = 650*60
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-40x = -18000
x = 450 (# of km at 100 km/h)
570-x = 120 (# of km at 60 km/h)
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Cheers,
Stan H.
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