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Question: A banana plantation is located next to a desert. The plantation owner has 3000 bananas that he wants to transport to the market by camel, across a 1000 kilometre stretch of desert. The owner has only one camel, which carries a maximum of 1000 bananas at any moment in time, and eats one banana every kilometre it travels. What is the largest number of bananas that can be delivered at the market?
Answer: The Solution: 533 1/3 bananas.
Explanation: Since there are 3000 bananas and the camel can carry at most 1000 bananas, at least five trips are needed to carry away all bananas from the plantation P (three trips away from the plantation and two return trips):
P (plantation)
===forth===>
<===back====
===forth===>
<===back====
===forth===>
A
Point A in the abouve picture cannot be the market. This is because the camel can never travel more than 500 kilometres into the desert if it should return to the plantation (the camel eats a banana every kilometre it travels!). So point A lies somewhere in the desert between the plantation and the market. From point A to the next point, less than five trips must be used to transport the bananas to that next point. We arrive at the following global solution to the problem (P denotes the plantation, M denotes the market):
P (plantation)
===forth===>
<===back====
===forth===>
<===back====
===forth===>
A
===forth===>
<===back====
===forth===>
B
===forth===>
M (market)
Note that section PA must be in the solution (as explained above), but section AB or section BM might have a length of 0. Let us now look at the costs of each part of the route. One kilometre on section PA costs 5 bananas. One kilometre on section AB costs 3 bananas. One kilometre on section BM costs 1 banana. To save bananas, we should make sure that the length of PA is less than the length of AB and that the length of AB is less than the length of BM. Since PA is greater than 0, we conclude that AB is greater than 0 and that BM is greater than 0.
The camel can carry away at most 2000 bananas from point A. This means the distance between P and A must be chosen such that exactly 2000 bananas arrive in point A. When PA would be chosen smaller, more than 2000 bananas would arrive in A, but the surplus can't be transported further. When PA would be chosen larger, we are losing more bananas to the camel than necessary. Now we can calculate the length of PA: 30005*PA=2000, so PA=200 kilometres. Note that this distance is less than 500 kilometres, so the camel can travel back from A to P.
The situation in point B is similar to that in point A. The camel can't transport more than 1000 bananas from point B to the market M. Therefore, the distance between A and B must be chosen such that exactly 1000 bananas arrive in point B. Now we can calculate the length of AB: 20003*AB=1000, so AB=333 1/3. Note that this distance is less than 500 kilometres, so the camel can travel back from B to A. It follows that BM=1000200333 1/3=466 2/3 kilometres. As a result, the camel arrives at the market with 1000466 2/3=533 1/3 bananas.
The full scenario looks as follows: first, the camel takes 1000 bananas to point A. There it drops 600 bananas and returns with 200 bananas. Then the camel takes again 1000 bananas to point A. Again, it drops 600 bananas and returns with 200 bananas. After this, the camel takes the last 1000 bananas from the plantation to point A. From point A, it leaves with 1000 bananas to point B. In point B, it drops 333 1/3 bananas and returns with 333 1/3 bananas. Then it takes the second load of 1000 bananas from point A to point B. Finally, it carries the 1000 bananas from point B to the market, where it arrives with 533 1/3 bananas.


Question: A banana plantation is located next to a desert. The plantation owner has 3000 bananas that he wants to transport to the market by camel, across a 1000 kilometre stretch of desert. The owner has only one camel, which carries a maximum of 1000 bananas at any moment in time, and eats one banana every kilometre it travels. What is the largest number of bananas that can be delivered at the market?
Answer: The Solution: 533 1/3 bananas. Answer is 533 and 1/3 banana The number of Bananas that were transported was "0". the camel can never end up carrying any bananas as it wud eat one banana for one km, and the dist being 1000 km, there wont be any banana left, even though there are 3000 bananas , since it cannot carry more than 1000 at a time , theres no possibility of any bananas reaching the destination Source: CoolInterview.com Answered by: abishahb  Date: 10/5/2009  Contact abishahbCamel cannot reach with even a banana Source: CoolInterview.com Answered by: vijay  Date: 11/25/2009  Contact vijayZero Source: CoolInterview.com Answered by: kishore  Date: 12/2/2009  Contact kishoreThere will be zero bananas Source: CoolInterview.com Answered by: shobana  Date: 12/21/2009  Contact shobanaanswer will be zero. Source: CoolInterview.com Answered by: sagar singh  Date: 12/30/2009  Contact sagar singhno banana was left because for every 1 km 1 banana was eaten by the camel and the trip is 1000km Source: CoolInterview.com Answered by: sowmya  Date: 1/2/2010  Contact sowmyaThe result is said to be zero. Source: CoolInterview.com Answered by: rajag  Date: 1/4/2010  Contact rajagthere will be no bananas delivered Source: CoolInterview.com Answered by: s.nishanthi  Date: 1/8/2010  Contact s.nishanthino bannana coz 1000 bannana nd 1000 km camel will eat a bannana evry kmso all will get finished Source: CoolInterview.com Answered by: malvika jain  Date: 1/8/2010  Contact malvika jainThere will be 0 banana.bcause camel can carry only 1000 banana at a time and there are 3000 banana so to reach the market camel has to travel 3 times and camel eats one banana per kilometer thus no banana will left. Source: CoolInterview.com Answered by: swapnil nishith  Date: 1/12/2010  Contact swapnil nishithThere will be no bananas left to be transported to the market....coz the camel eats 1 banana for every 1km, thus all 1000 bananas are over, by the time the the market is reached... Source: CoolInterview.com Answered by: Radhika B.  Date: 1/26/2010  Contact Radhika B.there is no banana plantation in desert. Source: CoolInterview.com Answered by: viruz  Date: 2/8/2010  Contact viruzzero banana wil be transport Source: CoolInterview.com Answered by: kattty  Date: 2/17/2010  Contact kattty3 bananas Source: CoolInterview.com Answered by: bharath  Date: 3/4/2010  Contact bharath 0 banana will be transported bcoz camel can carry 1000 bananas maximum and he eats one banana at one km 3 banana will be transported because in first trip camel carry maximum 1000 banana and he eat 1 banana per 1km when he reach 999km after that he has eaten 999 banana and rest 1 banana dilever to distance so that in three trip he eat =999*3 as the camel could carry only 1000 banannas and eat 1 bananna in every 1 km of 1000 km .the bananna that will reach in the market are all eaten by the camel.1000 bananna will be reaching along with the camel.but their will be no more bananna to be sold in the market.3000 banannas will be raching in the market Source: CoolInterview.com Answered by: david z. joute  Date: 5/13/2010  Contact david z. joutemax 600 bananas can reach to market. Source: CoolInterview.com Answered by: Bipin Maurya  Date: 5/14/2010  Contact Bipin Mauryanot even 1 banana can be transported Source: CoolInterview.com Answered by: sayee  Date: 5/16/2010  Contact sayeethere r 1000 bananas in the journey of 1000 km so if a camel eats 1 banana after every 1km so there will no banana left so the answer is 0 Consider, the camel travels 250kms from plantation with 1000 bananas on its each trip. So, Zero. Source: CoolInterview.com Answered by: G.Bhagyaraju  Date: 6/24/2010  Contact G.Bhagyaraju750 bananas !!! if he's location far 1000 Km next to the desert and he has 1 camel, so let him find another job or another way to transport his bananas Source: CoolInterview.com Answered by: George  Date: 7/16/2010  Contact Georgethe max no of banana will be 500 200 banana.... Source: CoolInterview.com Answered by: Hardik Shah  Date: 8/2/2010  Contact Hardik Shahans:camal can reschs 533 bananas to the desert. Source: CoolInterview.com Answered by: mohit soni  Date: 8/5/2010  Contact mohit soni800 bananas. Source: CoolInterview.com Answered by: SUSHANT PARASHAR  Date: 8/7/2010  Contact SUSHANT PARASHAR800 bananas. 0 Bananas. 400 Bananas. Totally one thousand kilometer every kilometer eat one banana so no more banana delivered to market Source: CoolInterview.com Answered by: Sekar  Date: 8/16/2010  Contact Sekarthe answer is zero as camel eats 1 banana per 1km so no banana can be reached to the destination Source: CoolInterview.com Answered by: mamillagirish  Date: 8/20/2010  Contact mamillagirishANS:500 bananas maximum First move: 998+998+999(For fst KM=1000+1000+995) If you have the better answer, then send it to us. We will display your answer after the approval Rules to Post Answers in CoolInterview.com:

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