This is an algebra question

Question

If Paul's average speed is 5 km per hour, how long would it take Paul to walk 6.25 km?

Answer 1

We set up the problem as follows to cancel out the units:

6.25 km x 1 hour = 1.25 hours

5 km

To determine if this makes logical sense, when you divide 5 km into 4, to represent a quarter of a hour( 15 minutes), you have 1.25 km. Therefore, it makes sense that 6.25 km would be 1 hour and a quarter of a hour because you would travel 5 km in one hour and the remaining 1.25 km in 15 minutes.

Answer 2

Using THE DISTANCE FORMULA, D = RT, where D=distance, R=rate, and T=time in hours,

D = RT

6.25 = 5T

6.25/5 = 5T/5

1.25 = T

.25 of an hour is one-fourth of an hour, which is 15 minutes.

Therefore, it takes Paul ONE HOUR AND 15 MINUTES to walk 6.25 km at a rate of 5 km per hour.

CHECKING:

Does D = RT?

6.25 ? 5 x 1.25

6.25 = 5/1 x 5/4 = 25/4 = 6 1/4