Question

Sam and Keith are spending the day at Little Stone Lake. Sam is exploring the lake in his boat, while Keith is enjoying his time on a paddleboard. When it is time to return to their campsite, Sam is 21 kilometers away and Keith is 7 kilometers away. Sam's boat can travel 27 kilometers per hour, and Keith can paddle 6 kilometers per hour.

Answer 1

Sam will take approximately 46.7 minutes to return to the campsite, while Keith will take about 70 minutes.

Step-by-step explanation:

To calculate the time it takes for Sam and Keith to return to their campsite, we need to find the respective distances they need to travel and divide them by their speeds.

Sam is 21 kilometers away from the campsite and his boat can travel at a speed of 27 km/h.

Keith is 7 kilometers away and his paddleboard can travel at a speed of 6 km/h.

For Sam:

1. 
   
3. Time = Distance / Speed
4. 
   
6. Time = 21 km / 27 km/h
7. 
   
9. Time = 0.778 hours, or approximately 46.7 minutes

For Keith:

1. 
   
3. Time = Distance / Speed
4. 
   
6. Time = 7 km / 6 km/h
7. 
   
9. Time = 1.167 hours, or approximately 70 minutes

Therefore, it will take Sam approximately 46.7 minutes and Keith approximately 70 minutes to return to their campsite.