# Linear Systems DST (Two Part Trip)

- 1Adrielle traveled to her cottage 340 km away. Part of the trip was by bus that traveled 50km/h, and the other part of the trip was by car at 80 km/h. The total trip took 5 hours.

a) How many hours did she travel by car?

b) How many hours did she travel by bus?

c) How many kilometres did she travel by car?

d) How many kilometres did she travel by bus? - 2Andrew drove to his motherâ€™s house. He drove 100km/h while it was sunny, and slowed to 70 km/h when he encountered rain. The total distance was 480 km and it took him 6 hours.

a) How many hours did he travel in the sun?

b) How many hours did he travel in the rain?

c) How many kilometres did he travel in the sun?

d) How many kilometres did he travel in the rain? - 3Sabrina traveled to Vancouver. She drove her car at 75 km/h to the airport then took the jet which flew at 600 km/h for the rest of the trip. The total trip took 8 hours and the total distance was 3225 km.

a) How many hours did she travel by car?

b) How many hours did she travel by jet?

c) How many kilometres did she travel by car?

d) How many kilometres did she travel by jet? - 4Tara took a 9 hour trip. Part of the trip was by boat that traveled at 10 km/h, and the other part of the trip was by helicopter at 200 km/h. The total trip was 470 km.

a) How many hours did she travel by boat?

b) How many hours did she travel by helicopter?

c) How many kilometres did she travel by boat?

d) How many kilometres did she travel by helicopter? - 5Chris spent 7 hour traveling. He drove his car at 100 km/h then took a train that traveled 20 km/h slower than the car. The total trip was 640 km.

a) How many hours did he travel by car?

b) How many hours did he travel by train?

c) How many kilometres did he travel by car?

d) How many kilometres did he travel by train? - 6Bea went on a 374 km trip. She drove 56 km/h on a mountain road, then increased her speed to 72 km/h when she drove on the highway . The total trip took 5 hours and 45 minutes.

a) How many hours did she travel in the mountains?

b) How many hours did she travel on the highway?

c) How many kilometres did she travel in the mountains?

d) How many kilometres did she travel on the highway? - 7Veronica rode her bike at 12 km/h to the train station. She then took the train which traveled 44 km/h faster than the bike. The total trip lasted 7 hours and 30 minutes and was 321 km.

a) How many hours did she travel by bike?

b) How many hours did she travel by train?

c) How many kilometres did she travel by bike?

d) How many kilometres did she travel by train? - 8Reilly was driving at 84 km/h until she encountered a traffic jam which slowed her to 30 km/h. The trip took 5 hours and 45 minutes, and was 402 kilometres long.

a) How many hours did she travel in regular traffic?

b) How many hours did she travel in the traffic jam?

c) How many kilometres did she travel in regular traffic?

d) How many kilometres did she travel in the traffic jam?

$$e=mc^2$$