Abhay goes on a camping tour in interior Himalayas.He has got a 1.6 litre bottle full of an energy drink with him.To save the energy drink the first day,he drinks 100ml and refills the bottle with water; the second day he drinks 200ml of the mixture and refills the bottle with water; the third day he drinks 300ml of the mixture and refills the bottle with water.The mixture and refills the bottle with water.The procedure continues till the entire bottle is finished.How many mI of water in all does Abhay drink?
Answers
Answer:
12000 ml
Step-by-step explanation:
Even though this question seems complicated, we can solve it by simple logic.
We know the quantity of the energy drink that he Abhay has. If we can calculate the quantity of liquid that he consumed, we can easily calculate the amount of water that he drank.
Consumed Liquid Remaining Liquid(after filling it with water)
First Day: 100 ml 1600
Second : 200 ml 1600
Third:
.
.
.
.
Fifteen : 1500 ml 1600
Sixteen : 1600 ml 0
So, Abhay consumed the liquid for 16 days.
The quantity of liquid consumed = 100 + 200 + 300 + 400 + 500 + 600 + 700 + 800 + 900 + 1000 + 1100 + 1200 + 1300 + 1400 + 1500 + 1600
= 13600 ml
The given quantity of the energy drink = 1.6 liters = 1600 ml
Therefore, the quantity of water consumed by Abhay = The total quantity consumed - The quantity of the energy drink
= 13600 - 1600
= 12000 ml