Posted by **Anonymous** on Monday, March 3, 2008 at 4:53am.

A boat is at a point 120km West and 60km South of its destination. It sails in water which has a current of 20km/h North. In order to arrive at the destination, the captain decides to head the boat due East at 50km/h until he reaches a point due South of the destination. He would then let the boat drift towards the destination. For what length of time should each portion of the trip last?

I got 2.4h for the captain heading east. I need to know how long the drifting will last. I don't know how to get that.

- Physics -
**drwls**, Monday, March 3, 2008 at 5:29am
While "heading" east 2.4 hours at 50 km/h water speed, the boat will have also drifted 20*2.4 = 48 km north due to ocean current in that direction. It will therefore be only 60 - 48 = 12 km south of its destination after 2.4 hours. It only needs to drift with the current another

12 km/20km/h = 0.6 hours (36 minutes) to arrive.

- Physics -
**Anonymous**, Monday, March 3, 2008 at 6:11am
Thanks for the help!

## Answer this Question

## Related Questions

- Physics - A boat is at a point 120km West and 60km South of its destination. It ...
- Physics - A boat is to be driven from a point on the South bank of a river which...
- Trig - A sail boat on lake Huron leaves Southampton and sails 20degrees west of ...
- Sine, cosine law - A sail boat on lake Huron leaves Southampton and sails ...
- Physics - You have a boat that is capable of moving at 14.5 m/s through still ...
- Physics - The captain of a boat wants to travel directly across a river that ...
- Need Help Physics - The captain of a boat wants to travel directly across a ...
- physics - A small boat is headed a harbor 32km directly northwest of its current...
- Physics - A current of a river flows steadily from west to east at 1.00 m/s. A ...
- Physics - If the airplane is traveling at a velocity of 320 km/h to the north, ...