It take 5 hours for the motorcycle to make the trip.
Step-by-step explanation:
Speed of minivan = 50 mph
Speed of motorcycle = 60 mph
Let,
time taken by motorcycle = x
time taken by minivan = x+1
We know that,
Distance = Speed * Time
Distance of minivan = 50*(x+1) = 50x+50
Distance of motorcycle = 60*x = 60x
As the distance is same, the two Eqn will be equal.
[tex]60x=50x+50\\60x-50x=50\\ 10x=50[/tex]
Dividing both sides by 10;
[tex]\frac{10x}{10}=\frac{50}{10}\\x=5\\[/tex]
Time taken by motorcycle = 5 hours
It take 5 hours for the motorcycle to make the trip.
Keywords: distance, speed
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