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a car is traveling down a highway at a constant speed, described by the equation d = 65t, where d represents the distance, in miles, that the car travels at this speed in t hours

Questions =
a. What does the 65 tell us in this situation?
b. How many miles does it take the car to travel 26 miles at this speed?
c. How long does it take the car to travel 26 miles at this speed?

Respuesta :

We are given an equation d = 65 t, where d represents the distance, in miles, that the car travels at this speed in t hours.

We know distance, speed and time relation

d = s * t.

Where  d represents the distance, that the car travels at this speed in t  at the speed s.

If we compare that relation with the given equation, we can see s = 65.

So,

a) The 65 tell us speed of 65 miles per hour in this situation.

b) Second part seems to be incorrect. Please check it again.

c) We are given distance = 26 miles.

Plugging d= 26 in the given equation.

26 = 65 t

Dividing both sides by 65, we get

26/65 = t

t= 0.4 hours.

So, it takes 0.4 hours or 0.4 * 60 = 24 minutes o travel 26 miles at this speed.

We are required to explain what 65 tell us in this situation

65 in situation is the speed of traveling

Given:

d = 65t

Recall the formula to calculate distance

d = s × t

where,

d = total distance travelled

s = speed

t = total time taken

Therefore, 65 in situation is the speed of traveling

  • How many miles does it take the car to travel 26 miles at this speed?

d = 65t

26 miles = 65 × t

26 = 65t

t = 26/65

t = 0.4 hours

  • How long does it take the car to travel 26 miles at this speed

1 hour = 60 minutes

0.4 hour = 60 × 0.4

= 24 minutes

In conclusion, it takes 24 minutes for the car to travel 26 miles at this speed.

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