Question

A car travels 50mph for 10 minutes. How many miles per minute is the car travelling?

Answer 1

Hint: Now we are given the speed of the car in miles per hour. Now we want to convert the speed into miles per minute. Hence we will write the speed in ratio form which is $\text{speed=}\dfrac{\text{distance}}{\text{time}}$ and then convert hours into minutes and simplify. Hence we have the speed of the cars in miles per minute.

Complete step-by-step answer:
Now we are given the speed of the car.
Speed of a car is nothing but the distance travelled by the car in unit time.
Hence we have $\text{speed=}\dfrac{\text{distance}}{\text{time}}$ .
Now the given speed is mph.
Hence we have the units of speed is miles per hour.
Hence we can say in the formula the unit of distance is miles and the unit of time is hours.
Now the given speed is $\dfrac{50miles}{1hour}$ .
Now we since we want to write the speed in miles per minute we will convert hours into minutes.
We know that 1 hour is equal to 60 minutes.
Hence we have the given speed is $\dfrac{50\text{miles}}{60\min }$
Hence the given speed is $\dfrac{50}{60}$ miles per minute.
Now on simplifying we get the speed of the car is $0.83$ miles per minute.

Note: Now note that here we have the speed of a car is 0.83 miles per minute. If we want to calculate how much the car travels in n minutes then we simply multiply the speed by n. Hence let us say we want to find the distance travelled by the car in 10 minutes. Hence we have $10\times 0.83=8.3$miles. Hence the car travels 8.3 miles in 10 minutes.