Darla and Dave leave school each day at 2:00 P.M. on their bikes and travel in opposite directions. If Darla rides at a constant rate of 12 kilometers per hour and Dave rides at a constant rate of 14 kilometers per hour, after how many hours are they 65 kilometers apart?
To find out how many hours it will take for Darla and Dave to be 65 kilometers apart, we need to calculate the time it takes for them to reach that distance.
Since Darla and Dave are traveling in opposite directions, we can add their speeds to find the combined rate at which they are moving away from each other. In this case, their combined rate is 12 km/h (Darla's speed) + 14 km/h (Dave's speed) = 26 km/h.
Now, we can set up a simple equation to determine the time it takes for them to be 65 kilometers apart:
Distance = Rate × Time
Plugging in the given distance (65 kilometers) and the combined rate (26 km/h), we get:
65 km = 26 km/h × Time
To find the time (in hours), we divide both sides of the equation by the combined rate:
Time = 65 km / 26 km/h
Calculating this, we find:
Time = 2.5 hours
Therefore, it will take Darla and Dave 2.5 hours to be 65 kilometers apart.
they get 26 km farther apart every hour
65 / 26 = ?