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# Linear Systems DST (Two Different Times)

1. 1
Kevin left his house driving at 40 km/h. His brother Eric followed in his car 1 hour later traveling at 50 km/h.

a) At what distance from their home did Eric catch up to Kevin?

b) How long had Kevin been driving when they meet up?

c) How long had Eric been driving when they meet up?
2. 2
Jennifer left a party travelling a 60 km/h. Two hours later, Peter realized she forgot her purse and decided to take his car and follow her at 100 km/h.

a) At what distance from their home did Peter catch up to Jennifer?

b) How long had Jennifer been driving when they meet up?

c) How long had Peter been driving when they meet up?
3. 3
Mike left school and rode his bike at 20 km/h. Alan left the same school in his car 3 hours later at 60 km/h to catch up to Mike.

a) At what distance from school did Alan catch up to Mike?

b) How long had Mike been riding when they meet up?

c) How long had Alan been driving when they meet up?
4. 4
Brooke walked away from her house at 5 km/h. Erin left 1 hour later on her scooter travelling at 25 km/h.

a) At what distance from their home did Erin catch up to Brooke?

b) How long had Brooke been walking when they meet up?

c) How long had Erin been driving when they meet up?
5. 5
Jenna flew her plane from the airport at 150 km/h. Danielle followed 1 hour and 15 minutes later and flew at 300 km/h.

a) At what distance from the airport did Danielle catch up to Jenna?

b) How long had Jenna been flying when they meet up?

c) How long had Danielle been flying when they meet up?
6. 6
Al left work at 2:00pm walking at 8 km/h. Joy followed at 2:30pm and ran at 10 km/h to catch up with him.

a) At what distance from work did Joy catch up to Al?

b) How long had Al been walking when they meet up?

c) How long had Joy been walking when they meet up?
7. 7
Katie left the mall driving at 40 km/h. Emma followed 2 hours later driving at 50 km/h.

a) At what distance from the mall did Emma catch up to Katie?

b) How long had Katie been driving when they meet up?

c) How long had Emma been driving when they meet up?
8. 8
Tess left the gym driving at 30 km/h. Megan followed 3 hours later driving at 60 km/h.

a) At what distance from the gym did Megan catch up to Tess?

b) How long had Tess been driving when they meet up?

c) How long had Megan been driving when they meet up?

$$e=mc^2$$