Question

Jasmine can swim the back stroke 0.3 kilometers in 10 minutes, and she can swim freestyle twice this distance in the same amount of time. At this rate, how far could Jasmine swim freestyle in 1 hour?

Answer 1

She can swin 3.6 km in 1 hour using freestyle.

Explanation:

If she can swin 0.3 kilometers in 10 minutes or 1/6 hours using backstroke, then her speed on that style is:

`v_(backstroke) = (0.3)/((1)/(6)) = 0.3*6 = 1.8 \text{ } \frac{\text{km}}{\text{h}}`

If she can swim twice the distance in the same time for freestyle, then her speed on that is twice the one in backstroke. Therefore, her speed on freestyle is:

`v_(freestyle) = 2*v_(backstroke) = 2*1.8 = 3.6 \text{ } \frac{\text{km}}{\text{h}}`

Since her speed in freestyle is 3.6 km per hour, this means that she can swim a total of 3.6 km in one hour.