# Linear Systems DST (Current \ Wind)

1. 1
Colin took a boat trip 120 km upstream that lasted 5 hours. The return trip lasted 4 hours.

a) find the speed of the boat in still water.

b) find the speed of the current.
2. 2
Cam flew his plane for 300 km from Toronto to Ottawa which took 3 hours with a headwind. The return trip took 2 hours.

a) find the speed of the plane in still air.

b) find the speed of the wind.
3. 3
Linda drove her boat downstream 36 km for 1 hour. The return trip took 2 hours.

a) find the speed of the boat in still water.

b) find the speed of the current.
4. 4
Jon flew his plane against the wind 600 km for 6 hours. The return trip took 5 hours.

a) find the speed of the plane in still air.

b) find the speed of the wind.
5. 5
Tanya paddled her kayak downstream 14 km. This part of the trip took 2 hours. On the return trip she only paddled 9 km, but this took one hour longer.

a) find the speed of the kayak in still water.

b) find the speed of the current.
6. 6
McKenzie flew 396 km for 3 hours with a tailwind. She flew 490 km on the return trip with a headwind which took 2 hours longer.

a) find the speed of the plane in still air.

b) find the speed of the wind.
7. 7
Marcus drove his boat 119 km upstream and took 7 hours. The return trip was 3 hours less and was 148 kilometers.

a) find the speed of the boat in still water.

b) find the speed of the current.
8. 8
Geoff and Lori flew their plane in a headwind for 4 hours and 15 minutes. The distance travelled was 467.5 kilometers. On their return trip, with a tailwind, they flew 500 kilometers for a total of 2 hours and 30 minutes.

a) find the speed of the plane in still air.

b) find the speed of the wind.
9. 9
A boat travels downstream 66.5 km and takes 1 hour and 45 minutes. On the return trip (upstream) the boat travels 77 kilometers which takes 3 hours and 30 minutes.

a) find the speed of the boat in still water.

b) find the speed of the current.
10. 10
An airplane travels 252 kilometers in a tailwind for 1 hour and 12 minutes. On the return trip,with a headwind, the plane travels 592 kilometers in 3 hours and 42 minutes.

a) find the speed of the plane in still air.

b) find the speed of the wind.

$$e=mc^2$$