Brain Teasers
Grab a Cab
Pating and his wife are at the entrance of their subdivision. Their subdivision is actually just a long straight road with no side streets. Their house is 1 kilometer away from the entrance. While waiting for a cab to take them home, Pating decides to just walk his way to their house (he needs the exercise) leaving his wife in the entrance. He walks at a steady pace of 3km/hr. After 18 minutes, his wife finally manages to hail a cab and orders the driver to take her home. The cab goes at a constant speed of 40km/hr. Who will reach their house first?
Answer
Using the formula of D = RT, where D is distance, R = rate or speed, T = time:For Pating, he will reach the house if he continues on walking in (1km)/(3km/hr) = .33333hr or 20 minutes.
For his wife, she will reach the house in (1km)/(40km/hr) = .025hr or 1.5 minutes. Counting the 18 minutes lead time of Pating, 19.5 minutes.
So Pating's wife will reach their home first.
But if this is a combination of a math and trick question, they will arrive at their house together.
If his wife really loves him, she'll let him inside the cab as soon as the cab overtakes Pating.
Hide Answer Show Answer
What Next?
View a Similar Brain Teaser...
If you become a registered user you can vote on this brain teaser, keep track of which ones you have seen, and even make your own.
Solve a Puzzle
Comments
Don't forget to send me a message saying what subject you want me to do on a quiz!!!!!!!!!!!!!!!!
This is my first time being the first one YAAAAAAAHHHH
Well, I got it right, but, realistically, it wouldn't work that way! If the cab came in 18 minutes, it would take another half minute or even more, for her to get into the cab! And what about the time it takes for the cab to get up to speed?
Mosca, It might be like that in your world, but in that world it sas just as it says it. If it was for real life, good thinking.
That was no teaser, but thanks for the mental exercise.
Yeah, kinda just a simple math problem.
The bit about your wife picking you up though doesn't make much sense. You'd only be a little more than 25.5 meters from your house when the cab gets to you. At 3 km/hr. you're covering ground at less than a meter/second, so you're really dogging it. It's going to take you another 30 seconds to walk from about two houses away, so either you're an invalid or you really do need the exercise. In either case I'm guessing your wife probably needs the exercise also if she waited 18 minutes for a cab to avoid walking what amounts to about 4 or 5 blocks.
The bit about your wife picking you up though doesn't make much sense. You'd only be a little more than 25.5 meters from your house when the cab gets to you. At 3 km/hr. you're covering ground at less than a meter/second, so you're really dogging it. It's going to take you another 30 seconds to walk from about two houses away, so either you're an invalid or you really do need the exercise. In either case I'm guessing your wife probably needs the exercise also if she waited 18 minutes for a cab to avoid walking what amounts to about 4 or 5 blocks.
To post a comment, please create an account and sign in.
Follow Braingle!