Question

a train travelling 50 miles per hour takes a trip lasting 3 hours. if a map has a scale of 1 inch per 10 miles, how many inches apart are the trains starting point and ending point on the map. A. 14 B. 12 C. 13 D. 15 show your work

Answer 1

First, we need to calculate the real distance travelled by the train, in miles.

We know that velocity is the change in position divided by the change of time.

Then, the change in position (the distance travelled) is the product of the velocity and the time travelled. Let's call X the distance in miles that the train travelled:

`X=V\cdot t`

For this case, V is the velocity: 50 miles per hour, and t is the time travelled: 3 hours. Then, for the distance travelled:

`X=50(mi)/(h)\cdot3h=150mi_{}`

We have then that the train travelled 150 miles.

Now we just need to use the convention on the map to calculate the distance between starting and ending points in the map.

For that, we need to translate the 150 miles to inches on the map.

If per every 10 miles we have one inch on the map, we just need to divide the miles by 10:

`(150)/(10)=15`

Obtaining then that the distance in the map is 15 inches.

The correct option is then D) 15.