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A minivan traveling at 50 mph and a motorcycle traveling at 60 mph cover the same distance. It takes the
minivan 1 hour longer to make the trip. How many hours did it take for the motorcycle to make the trip?​

Respuesta :

MIRAGEE

I hope this helps you

distance is X

motorcycle 60 mph and times is t

minivan 50 mph and times is t+1

X=60.t

X=50(t+1)

60t=50t+50

10t=50

t=5 hour

t+1=6 hour

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Answer:

5 hours.

Step-by-step explanation:

Speed = distance / time

For the motorcycle:

60 = d/ t        (where d = distance and t = time in hours for the motorcycle).

d = 60t

For the minivan:

50 = d /( t + 1)      ( as this takes  1 hour longer than the motorcycle).

d = 50(t + 1)

The distance d is the same for  both vehicle,

Therefore:

50(t + 1) = 60t

60t - 50t = 50

10t = 50

t = 5 hours

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