Question

An airplane is flying from New York City to Los Angeles. The distance it travels in miles d, is related to the time in seconds, t, by the equation d=0.15t. Do NOT include units with your answer.A. How fast is it flying in miles per second?B. How far will it travel in 30 seconds?C. How long will it take to go 12.75 miles?

Answer 1

A. 0.15

B. 0.45

C. 85

Explanation:

Given that:

Equation to represent the relation between distance,
`d` in miles and time
`t` in seconds:

`d=0.15t`

A.

To find: The speed of airplane in miles per second.

Formula for speed is given as:

`Speed = (Distance)/(Time)`

Here, we will have to find the value of
`(d)/(t)`.

Dividing the given equation by
`t`, we get:

`(d)/(t)=0.15`

`d` is in miles and
`t` is in seconds.

Therefore, the answer is 0.15.

B.

Distance traveled in 30 seconds.

Given that:
`t` = 30 seconds

To find:
`d = ?` in miles

`d = 0.15* 3 = 0.45`

C.

The time taken to travel a distance of 12.75 miles.

Given that :
`d =12.75\ miles`

To find:
`t = ?` seconds

`12.75 = 0.15t\\\Rightarrow t = (12.75)/(0.15)\\\Rightarrow \bold{t = 85}`