After a company event, a group of engineers get lost and find themselves at an old and rickety bridge. They all need to cross, but they face several difficulties. The bridge is so old and narrow that it can only hold 2 people at a time. They only have 1 torch, and it is so dark the torch must be carried when crossing. Each person can cross the bridge alone in a different amount of time. When 2 people cross the bridge together, they cross at the slower person’s time.
What is the fastest time they can cross the bridge? Solve for these crossing times.
Puzzle 1
Four people
A crosses in 1 minute
B crosses in 4 minutes
C crosses in 5 minutes
D crosses in 8 minutes
Puzzle 2
Four people
A crosses in 1 minute
B crosses in 2 minutes
C crosses in 5 minutes
D crosses in 8 minutes
Puzzle 3
Six people
A crosses in 1 minute
B crosses in 4 minutes
C crosses in 5 minutes
D crosses in 8 minutes
E crosses in 9 minutes
F crosses in 12 minutes