Algebra

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Bruhreally Bruhreally
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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?
AlgebraHouse AlgebraHouse
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Re: Algebra

This post was updated on .
Distance = rate x time
d = rt

Motorcycle
rate = 40
time = t
d = 40t

Car
rate = 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