Tommy Hunk's plane crashed on an island as he was travelling to his championship in Honduras. After recovering from the crash landing, he was delighted to find that his 40-litre bucket for protein potion survived the crash as well. A realist, he decides that he will use his resources carefully. He drinks one litre of the protein potion on day one of his stays. He adds water to the container to make up the volume. The next day, he consumes 2 litres of the solution. He again adds water to the container to make up the volume. The day after he repeats the same, except this time he drinks 3 litres of the solution. As luck would have it, he was rescued the day he finished the contents of the container. How much water did he drink during his stay on the island?
Answers
Answer:
780
Step-by-step explanation:
one litre of milk on first day , then he add up one litre of water in it and then on second day he drink 2 litres of that mixture,he drinks 3 litre of mixture on third day and it goes on.
Total there is 40 litres of milk in starting .
So, he will drink 40 litre of mixture on 40th day so, all the milk was empty on 40th day.
We have to calculate the amount of water he added in these 40 days because he drank all the water thay he added in 40 days.
So, on 1st day, he added 1 litre of water after drinking 1 litre of milk, similarly 2 litre on second day...
On 39th day he will add 39 litres of water in container,and on 40th day all the mixture was empty and he will not add anything.
So
Formula of adding n natural numbers :
\begin{gathered} \\ \bf \: = \frac{n \times (n + 1)}{2} \end{gathered}
=
2
n×(n+1)
(equation 1)
In this case value of n = 39
so putting value of n = 39, in equation 1, we get
Total quantity of water added :
\bf = \frac{39 \times 40}{2} = 39 \times 20 = 780=
2
39×40
=39×20=780
he added total 780 litres
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Given : drinks one litre of the protein potion on day one of his stays.
Adds water to the container to make up the volume.
The next day, consumes 2 litres of the solution.
Again adds water to the container to make up the volume.
The day after repeats the same, except this time he drinks 3 litres of the solution.
rescued on the day he finished the contents of the container.
To Find : How much water did he drink during his stay
Solution :
40-litre bucket for protein
=> protein = 40 litre
Protein + water drink
1 , 2 ,3 , . . . . .. 40
last day he drank 40 litre as protein will finish on that day
Total Drank = (40)(41)/2 = 820 Litre
Protein = 40 litre
Water = 820 - 40 = 780 liter
he drink 780 liter water during his stay
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