Are You More Intelligent Than a Frog?

Algebra Level 1

Timmy, the tiny frog is stuck in a well 30 m 30 m deep. He tries to jump his way out. Each day he jumps 3 m 3 m up & sticks to the wall but at night, he slips 2 m 2 m down.

If Timmy started jumping from the bottom on 1 s t 1^{st} May 2014 2014 , on which day will he finally hop out of the well?


Details and Assumptions : Assume that Timmy does not slip back into the well after hopping out!

3 0 t h 30^{th} May 2014 2014 None of These 2 8 t h 28^{th} May 2014 2014 1 s t 1^{st} June 2014 2014

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5 solutions

Terry Yu
Apr 4, 2017

Everyday, on average, the frog climbs 1 meter. after 27 days and nights, he would have climbed 27 meters. Then the next day, the 28 of May, he climbs up 3 meters to reach the top. He wouldn't slip back down 2 meters anymore.

Mohammad Khaza
Oct 6, 2017

everyday the frog actually reaches= 3 2 = 1 3-2=1 meter.

within 27 days,it will climb= 27 27 meters.

but in 28 day,it will climb 3 meter and touch the apex of the deep and will go to sleep.

and yes, i am more intelligent than a frog.

A good question.At the first look I had thought the answer to be 30 days, but then I realised the hidden fact soon

Siva Prasad
May 28, 2014

Thank you for the question........

Ameya Salankar
Apr 21, 2014

Timmy jumps up 3 m 3 m each day but slips 2 m 2 m down each night.
\Rightarrow Total progress in 1 1 full day ( 24 24 hours) = 1 m 1 m up.

In 27 27 days, he will reach 27 m 27 m up.

But on the 2 8 t h 28^{th} day (i.e. 2 8 t h 28^{th} May 2014 2014 ), he will climb 3 m 3 m more & get out of the well.

After getting out, he won't slip back again!

\Rightarrow Timmy hops out on 2 8 t h May 2014 \boxed{28^{th} \text{May} 2014} .

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