- #1
ceptimus
- 299
- 2
Three brothers decide to exhibit their two vehicles at a vintage car and motorcycle show twelve miles from their house. They jointly own a single-seat car and a very early single-seat motorcycle. They are discussing how to get themselves and their vehicles to the show.
"Our car goes at 60mph and our bike at 15mph", says Archie. "Whoever drives the car will only take twelve minutes to get there, the bike will take forty-eight minutes. One of us will have to walk - at four miles an hour that will take three hours."
"Why not share the driving?", says Brian. "If one of us drives the car for four miles, then parks it, and another of us does the same with the bike, then we can swap over, and park them again after another four miles. If we work it out right we can each walk, ride and drive for one third of the distance - that will be fair and we'll all arrive together and faster than one of us having to walk the whole way."
"I see what you mean", says Charlie, the youngest and smartest brother. "But there will be some waiting around involved because the bike won't be at the final swapping point early enough. I have a better idea..."
What is Charlie's idea and how quickly can all three brothers arrive at the show if they all set off together and share the driving, riding and walking?
"Our car goes at 60mph and our bike at 15mph", says Archie. "Whoever drives the car will only take twelve minutes to get there, the bike will take forty-eight minutes. One of us will have to walk - at four miles an hour that will take three hours."
"Why not share the driving?", says Brian. "If one of us drives the car for four miles, then parks it, and another of us does the same with the bike, then we can swap over, and park them again after another four miles. If we work it out right we can each walk, ride and drive for one third of the distance - that will be fair and we'll all arrive together and faster than one of us having to walk the whole way."
"I see what you mean", says Charlie, the youngest and smartest brother. "But there will be some waiting around involved because the bike won't be at the final swapping point early enough. I have a better idea..."
What is Charlie's idea and how quickly can all three brothers arrive at the show if they all set off together and share the driving, riding and walking?