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Where I went wrong?
That's going to save time for sure.
Let's assume that the distance between Startville and Endville is 2 miles. And suppose we walk at the same speed of 4 mph and ride bicycle at the speed of 12 mph.
Then I will travel for first 1 mile in 5 minutes leave the bicycle and start walking thereafter. You take 15 minutes to reach at the point to pick up bicycle and ride next mile. For next mile, I need 15 minutes as I am walking & you need only 5 minutes ride on bicycle. So exactly after 20 minutes we will reach at Endville.
And what if we had walked entire 2 miles distance? It would have taken 30 minutes for us to reach at the destination.
One thing you must have noticed, each of us walked for 1 mile only and ride on bicycle for other mile which saved 10 minutes of our journey. Imagine it as if we had 2 bicycles where we ride 1 mile in 5 minutes, leave bicycles and walk next mile in another 15 minutes.
So my argument in the case is totally wrong. It would have been correct if I had waited for you after finishing 1 mile ride on bicycle and then started to walk next mile.
In that case, you will reach at the destination in 20 minutes but I need 30 minutes as I wasted 10 minutes in middle.
Conclusion:
My argument -
"One or the other of us is always walking; ultimately every inch of the
distance between Startville and Endville is traversed by someone on
foot."
tells only half story.
Yes, ultimately every inch of the
distance between Startville and Endville is traversed by someone on
foot but the distance that each of us walk is equal though different parts of journey. And for the rest of distance we ride on bicycle where total time required for journey is saved.
200 students are arranged in 10 rows of 20 children. The
shortest student in each column is identified, and the tallest of these
is marked A. The tallest student in each row is identified, and the
shortest of these is marked B. If A and B are different people, which is
taller?
This person will be taller in any case!
Why the height comparison?
B will be always taller in any case.
Case 1 : If A and B are standing in the same row the obviously B is taller than A as B is tallest among all in that row.
Case 2 : If A and B are standing in the same column then still B is taller than A as A is shortest among all in that column.
Case 3 : If A and B are standing in different row and column then there must be somebody C which has same column as A and same row as B. This C is shorter than B (as B is tallest in row) and he is taller than A (as A is shortest in that column). That is B > C and C > A.
Hence, in any case, B is always taller than A.
Marissa and Juliana went out for drinks together. They ordered the same
drink. Juliana was really thirsty and finished five in the time it took
Marissa to finish one. The drinks were poisoned, but only Marissa died.
How?
TIP : Poison wasn't in Marrisa's glass neither added externally by any one.
This is how Juliana survived!
What was the incident?
That's because the poison was in the ice. Since Marissa took time to drink her first, the ice melted & poison got mixed up in the drink very well. Whereas, Juliana was thirsty & finished drinks in hurry; it didn't get enough time to melt the ice & hence poison didn't get mixed up with the drink. That's how Juliana survived!
A fair die bearing the numbers 1, 2, 3, 4, 5, 6 is repeatedly thrown
until the running total first exceeds 12. What’s the most likely total
that will be obtained?
This must be the most likely total!
Here is the question!
Just consider the the next-to-last throw where last throw would make total exceeding 12.
Till then total must be either of 12,11,10,9,8 or 7. And next throw will make total greater than 12.
At this point -
If total is 12 then the first total exceeding 12 could be any from 13,14,15,16,17,18.
If total is 11 then the first total exceeding 12 could be any from 12,13,14,15,16,17,
If total is 10 then the first total exceeding 12 could be any from 12,13,14,15,16.
If total is 9 then the first total exceeding 12 could be any from 12,13,14,15.
If total is 8 then the first total exceeding 12 could be any from 12,13,14.
If total is 7 then the first total exceeding 12 could be any from 12,13.
It's quite evident that the number 13 appears in every above case.
Hence, 13 is the most likely total.
