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On a 210-mile trip, Cameron drove at an average speed of 60 miles per hour for the first x hours. He then
completed the trip, driving at an average speed of 50 miles per hour for the remaining y hours. If x = 1,
what is the value of y?
y =

Respuesta :

MrRoyal

Answer:

[tex]y = 3[/tex]

Step-by-step explanation:

Given

Trip = 250 miles

Speed for first x hours = 60 miles/hour

Speed for next y hours = 50 miles/hour

x = 1

Required

Find y

To solve this question, we'll make use of:

[tex]Distance = Speed * Time[/tex]

For x hours:

[tex]Distance = 60miles/hour * x[/tex]

Substitute 1 hour for x

[tex]Distance = 60\ miles/hour * 1\hour[/tex]

[tex]Distance = 60\ mile[/tex]

For y hours:

[tex]Distance = 50\ miles/hour * y\ hours[/tex]

[tex]Distance = 50y\ miles[/tex]

Given that total distance is 210 miles;

We have that:

[tex]Total Distance = 60\ miles + 50y\ miles[/tex]

[tex]210\ miles = 60\ miles + 50y\ miles[/tex]

Solve for y

[tex]210 - 60 = 50y[/tex]

[tex]150 = 50y[/tex]

[tex]y = \frac{150}{50}[/tex]

[tex]y = 3[/tex]

Hence,

y = 3 hours

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