A car is traveling down a highway at a constant speed, described by the equation d=65td = 65 t , where d represents the distance, in miles, that the car travels at this speed in t hours. a) What does the 65 tell us in this situation?
b) How many miles does the car travel in 1.5 hours? c)How long does it take the car to travel 26 miles at this speed?
Answers
Answer:
The 65 tells us the constant speed the car is travelling at.
The car travels 97.5 miles in 1.5 hours
0.4 of an hour to travel 26 miles
Step-by-step explanation:
d is the distance, we get that by multiplying speed and time, we are told t is time, so 65 must be speed
Substitute in 1.5 into the equation as the t, time
d=65t
d=65×1.5
d=97.5
The car takes 0.4 hours to travel 26 miles, substitute in 26 as the d, and isolate t to get the time it takes to travel 26 miles
d=65t
26=65t
26÷65=t
0.4=t
Given: The equation of the car travelling is d = 65t.
To find: a) What does the 65 tell us in this situation?
b) How many miles does the car travel in 1.5 hours?
c)How long does it take the car to travel 26 miles at this speed?
Solution: a) The distance d is in miles and the time is t hours.
The speed of a moving object is given by the formula = distance/time
⇒ distance = speed × time.
Therefore from the given equation, we can say that 65 is the speed of the car here.
b) time = 1.5 hours
The distance travelled by the car in 1.5 hours = 65 × 1.5 miles
= 97.5 miles.
c) d = 26 miles
The time taken by the car to travel 26 miles
= 26/65
= 0.4 hours
= 4/10 × 60 minutes
= 24 minutes
Answer: a) speed
b) 97.5 miles
c) 0.4 hours/24 minutes