Question

Danny drove to Yosemite Park from his home at 60 mph. on his trip home, his rate was 10 mph less and ...?

Answer 1

Answer: 300 mi.

Step-by-step explanation:

Let t be the time taken to drive to the park (at 60 mph)

Let t + 1 be the time taken to drive home from the part (at 50 mph)

Distance to the park = 60t

Distance from the park = 50(t + 1)

Obviously the distances should be the same so equate them.

60t = 50(t + 1)

60t = 50t + 50

10t = 50

t = 50/10

t = 5 hours

Now figure the distance.  You can use either equation for the distance to or from the park:

60t = 60(5) = 300 miles

or

50(t+1) = 50(6) = 300 miles

Answer 2

The distance to or from the park will be 300 miles.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let assume t be the time taken to drive to the park (at 60 mph).

Let assume t + 1 be the time taken to drive home from the part (at 50 mph)

The Distance to the park = 60t

The Distance from the park = 50(t + 1)

Obviously the distances should be the same, so equate them;

60t = 50(t + 1)

60t = 50t + 50

10t = 50

t = 50/10

t = 5 hours

Now figure the distance. We can use either equation for the distance to or from the park:

60t = 60(5) = 300 miles

50(t+1) = 50(6) = 300 miles

Therefore, the distance to or from the park will be 300 miles.

Learn more about equations here;

https://brainly.com/question/10413253

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