Question

A car travels 1 mile in 75 seconds. At this rate, how many miles will the car travel in 1 hour.

Answer 1

Hint: Now first we will try to calculate the speed of the car with the formula for speed $\dfrac{\text{distance}}{\text{time}}$ . Now we will calculate the distance travelled by the car in 3600 seconds since 3600 seconds is nothing but 1 hour. Hence we have the distance travelled by the car in 1 hour.

Complete step-by-step answer:
Now we are given that the car travels 1 miles in 75 seconds.
Let us first find the speed of the car in miles per hour.
Now the formula for speed is $\dfrac{\text{distance}}{\text{time}}$ .
Since the car travels 1 mile in 75 second the speed of car is $\dfrac{1}{75}$ miles per second.
Now in one hour we have 60 minutes and in 1 minutes we have 60 seconds. Hence we can say in 1 hour we have $60\times 60=3600$ seconds.
Now distance = speed × time. Hence using this formula we will find the distance travelled by car in 3600 seconds.
Hence in 3600 seconds the car will travel $\dfrac{1}{75}\times 3600=480$
Hence we can say that in one hour the car will travel 480 miles.
Hence we also have that the speed of the car is 480mph.

Note: Now note that the here when using the formula for speed the units must be the same. Now let us say we want to find the distance travelled by the car. If the speed is in mph then the time must be in hours while using the formula and we will get the distance in miles.