Two buses depart from the Hillsboro Bus Terminal. One is moving north at 35 miles per hour, while the other is moving south at 48 miles per hour. How long will it be before the buses are 48 miles apart

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Answer:

3.6 hours.

Step-by-step explanation:

Given that Two buses depart from the Hillsboro Bus Terminal. One is moving north at 35 miles per hour, while the other is moving south at 48 miles per hour. How long will it be before the buses are 48 miles apart

Since they are moving in opposite directions to each other, let us first calculate the relative velocity.

Relative speed = 48 - 35 = 13 mph

Using the formula

Speed = distance/time

Substitute all the parameters into the formula

13 = 48 / time

Make time the subject of the formula

Time = 48 /13

3.69 hours.

Therefore, before the buses are 48 miles apart, the time taken will be 3.6hours.