# Algebra Classic List Threaded 2 messages Reply | Threaded
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## Algebra The total distance was 540 miles. George drove part way going 40 mph on a motorcycle and part way going 60 mph in a car. If the total time was 11 hours what distance of George cover on motorcycle?
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## Re: Algebra This post was updated on . Distance = rate x time d = rt Motorcyclerate = 40 time = t d = 40t Carrate = 60 time = 11 - t  {total time was 11 hours} d = 60(11 - t) Total distance was 540.  Add the distances and set equal to 540. 40t + 60(11 - t) = 540   {added distances and set equal to 540} 40t + 660 - 60t = 540   {used distributive property} -20t + 660 = 540   {combined like terms} -20t = -120   {subtracted 660 from each side} t = 6   {divided each side by -20} distance of motorcycle d = 40t = 40(6)   {substituted 6, in for t, into motorcycle distance} = 240   {multiplied} distance of motorcycle = 240 miles- Algebra House