Question

In t hours the train has traveled s miles. Find the formula for v, the speed of the train (in mph) in terms of t and s. Find the value of v when: Chapter Reference a t=3, s=180

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Part 2
In t hours the train has traveled s miles. Find the formula for v, the speed of the train (in mph) in terms of t and s. Find the value of v when:
Chapter Reference

b
t=2.5, s=225

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Answer 1

a) v = 60 mph

b) v = 90 mph

Explanation:

Let the time be t hours and Distance be s miles. Speed = v

We know that, speed =
`(Distance)/(Time)`

v =
`(s)/(t)`

Now when t =3 and s =180,

we have, v =
`(180)/(3)`

v = 60 mph

When t = 2.5 and s = 225

we have, v =
`(225)/(2.5)`

=
`(2250)/(25)`

v = 90 mph

Answer 2

Part 1 .

As per the given statement: In t hours the train has traveled s miles.

Distance of the train = s mile

Time = t hours

Formula for :

Speed of the train(v) =
`\frac{\text{Distance of the train}}{\text{Time}}`

or

`v = (s)/(t)` mph .....[1]

Substitute the value of t = 3 hours and s = 180 miles in [1], to solve for v;

`v = (180)/(3) = 60 mph`

Therefore, the speed of the train(v) is, 60 mph

Part 2.

Similarly,

The formula for speed of the train (v) is given by;

`v =(s)/(t)`

Substitute the value of t = 2.5 hours and s = 225 miles to solve for v;

`v = (225)/(2.5) = 90 mph`

Therefore, the speed of the train(v) is, 90 mph