Word problem:

Ken and Kara are 29 miles apart on a calm lake paddling towards each other. Ken paddles at 3 miles per hour. Kara paddles at 6 miles per hour. How long will it take them to meet?

You can do this the hard way, or...

what if one were not paddling, and the other paddled at 9mi/hr?

time=29mi/(9mi/hr)

To find the time it will take for Ken and Kara to meet, we can use the formula:

Time = Distance / Speed

Let's calculate the time it will take for each of them to meet:

For Ken:
Distance = 29 miles
Speed = 3 miles per hour

Time taken by Ken = Distance / Speed
= 29 miles / 3 miles per hour
≈ 9.67 hours

For Kara:
Distance = 29 miles
Speed = 6 miles per hour

Time taken by Kara = Distance / Speed
= 29 miles / 6 miles per hour
≈ 4.83 hours

Since they are both traveling towards each other, we need to take the average of their times to find the total time it will take for them to meet:

Total time = (Time taken by Ken + Time taken by Kara) / 2
= (9.67 hours + 4.83 hours) / 2
≈ 14.5 hours

Therefore, it will take Ken and Kara approximately 14.5 hours to meet.