Question

A car is traveling down a highway at a constant speed, described by the equation d = 70t, where d represents the distance, in miles, that the car travels at this speed in t hours.
a) What does the 70 tell us in this situation?
b) How many miles does the car travel in 2.5 hours?
c) How long does it take the car to travel 35 miles at this speed?

Answer 1

Answer:

a) Speed

b)175

c)0.5hrs

Step-by-step explanation:

(a)

$speed \: = \frac{distance}{time} \\ distance \: = \: speed \: \times \: time \\ d = s \times t$

The given equation is: d=70t.

On comparing this with the above formula, we can clearly identify that 70 here, represents speed.

(b) The given equation is d=70t

-> putting 2.5 hrs in place of t.

we get, d = 70 × 2.5

therefore, d = 175

hence distance covered is 175 miles.

(c) The given equation is d=70t

-> on putting 35 miles in place of distance.

we get 35 = 70 × t

which is, 35/70 = t

on simplifying, t = 1/2 hrs

Hence, time taken is 0.5 Hrs.

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