Question

A man is in a rowboat on a lake and his lakeside cabin has no running water. He rows in a direction 60 degrees north of east for 0.5 miles. What is the question?

Answer 1

The boat will take approximately 8.18 minutes to row 1.5 km downstream in a river moving 3.0 km/h relative to the shore.

Step-by-step explanation:

To determine the direction and magnitude of the boat's resultant velocity, we can use vector addition.

1. The boat's velocity in still water is 8.0 km/h.
2. The river is moving at 3.0 km/h relative to the shore.
3. To find the velocity of the boat downstream, we add the velocities of the boat in still water and the river:

Downstream velocity = 8.0 km/h + 3.0 km/h = 11.0 km/h

1. To find the time required to row downstream, we can use the formula: time = distance / velocity.
2. Given that the distance is 1.5 km and the velocity is 11.0 km/h, we can plug in these values:

Time required to row downstream = 1.5 km / 11.0 km/h = 0.1364 hours

The boat will take approximately 0.1364 hours (or 8.18 minutes) to row 1.5 km downstream in a river moving 3.0 km/h relative to the shore.