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 fo…

Question

asked Mar 3, 2021 178k views

1 Answer

Hirokazu · Answer 1 · 2021-03-09T09:11:14+0000

Answer:

y = 3

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:

Distance = Speed * Time

For x hours:

Distance = 60miles/hour * x

Substitute 1 hour for x

$Distance = 60\ miles/hour * 1\hour$

$Distance = 60\ mile$

For y hours:

$Distance = 50\ miles/hour * y\ hours$

$Distance = 50y\ miles$

Given that total distance is 210 miles;

We have that:

$Total Distance = 60\ miles + 50y\ miles$

$210\ miles = 60\ miles + 50y\ miles$

Solve for y

210 - 60 = 50y

150 = 50y

y = (150)/(50)

y = 3

Hence,

y = 3 hours