A boat moves 20.6 km across a lake in 34 min. What was the average speed of the boat in kilometers per hour?
Solve this proportion by cross multiplying and solving for x.
20.6 / 34 = x / 60
36.35
To calculate the average speed of the boat, we need to convert minutes to hours and divide the distance by the time.
1. We're given that the boat moves 20.6 km across a lake in 34 minutes. To convert minutes to hours, we divide by 60 since there are 60 minutes in an hour:
34 minutes ÷ 60 = 0.5667 hours (rounded to four decimal places)
2. Now, we have the distance in kilometers (20.6 km) and the time in hours (0.5667 hours). To find the average speed, we divide the distance by the time:
Average speed = Distance ÷ Time
Average speed = 20.6 km ÷ 0.5667 hours
Calculating this division, the average speed of the boat is approximately 36.33 kilometers per hour (rounded to two decimal places).
Therefore, the average speed of the boat is approximately 36.33 kilometers per hour.