Question

A train travels 45 feet in 1/10 of a second. How far will it travel in 3.5 seconds?

Answer 1

Answer: 1,575

Explanation:

To solve this problem, you can use the formula:

Distance = Speed × Time

First, find the speed of the train, which can be done by dividing the distance traveled by the time taken.

Speed = Distance ÷ Time

Speed = 45 feet ÷ (1/10) second

Speed = 450 feet/second

Now, you can use the found speed and the given time (3.5 seconds) to calculate the distance traveled by the train.

Distance = Speed × Time

Distance = 450 feet/second × 3.5 seconds

Distance = 1575 feet

Therefore, the train will travel 1,575 feet in 3.5 seconds.

Answer 2

1575 feet

Explanation:

Pre-Solving

We are given that a train traveled 45 feet in 1/10 (or 0.1) of a second.

We want to know how far it will travel in 3.5 seconds.

We can use a proportion to solve this. Since we don't know the distance of the train when it travels 3.5 seconds, we can consider this value x.

When we set up the proportion, we need to make sure that the labels stay consistent (i.e. if we put distance on top of time for one of the ratios, we need to do the same for the other).

So, if we make the proportion of
`(feet)/(seconds)`, we will get something like:
`(45 )/(0.1 ) = (x )/(3.5 )`; the labels aren't necessary when solving.

Solving

We got the following proportion:

`(45)/(0.1) = (x)/(3.5)`

Cross multiply to get:

45 * 3.5 = 0.1x

Divide both sides by 0.1

`(45 * 3.5)/(0.1) =x`

1575 = x

So, this means that the train will travel 1575 feet in 3.5 seconds.