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1st 3 Letters Are Denoted By Its Next In The Alphabet And The Next 3 Letters Are Denoted By Its Previous In The Alphabets A Monkey Starts Climbing Up A Tree 20ft. Tall. Each Hour, It Hops 3ft. And Slips Back 2ft. How Much Time Would It Take The Monkey To Reach The Top?

Answer»

The first hour, the monkey goes 3 feet up, and slips back 2 feet.

0.1..2..3..4..5..6

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(Imagine that's going up instead of HORIZONTAL.)

So the monkey is 3 ft - 2 ft = 1 ft high after one hour.

In the second hour, the monkey goes up 3 more feet, and slips back 2 feet. So he's at 1 ft + 3 ft - 2 ft = 2 ft.

Every hour, he gains 3 ft and LOSES 2 ft, for a TOTAL GAIN of 1 ft. So after the 17th hour, he's at 17 ft high.

Now, here's the twist: in the 18th hour, he climbs up 3 feet. Since 17 ft + 3 ft = 20 ft, he's at the top of the tree!

So, it takes him 18 hours.

The first hour, the monkey goes 3 feet up, and slips back 2 feet.

0.1..2..3..4..5..6

|---|---|---|---|---|---|

---------->

....<-----

(Imagine that's going up instead of horizontal.)

So the monkey is 3 ft - 2 ft = 1 ft high after one hour.

In the second hour, the monkey goes up 3 more feet, and slips back 2 feet. So he's at 1 ft + 3 ft - 2 ft = 2 ft.

Every hour, he gains 3 ft and loses 2 ft, for a total gain of 1 ft. So after the 17th hour, he's at 17 ft high.

Now, here's the twist: in the 18th hour, he climbs up 3 feet. Since 17 ft + 3 ft = 20 ft, he's at the top of the tree!

So, it takes him 18 hours.



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