A tank contains 10,000 litres of water when full. It begins to
leak. After the first day half of the water is lost. After the second day
half of the remainder is lost. After the third day half of the remainder
from the second day is lost. This continues, losing half of the
remainder from the previous day. At the end of 5 days the leak is
discovered.
a) What fraction of the water has been lost?
b) What fraction of the water remains?
c) How much water has to be put back into the tank in order
to fill it up?
Answer:
a= 31/32. b= 1/32 c = 9687.5
Step-by-step explanation:
after first day = 10000/2 = 5000
after 2nd day = 5000= 2500
like this after 5th day = 625/2 which is 1/2^ 5 of 10000 = 312.5
lost water is 1- 1/32 = 31/32 of total water
remaining water is 1/32 of total water
to fill add = 10000- 312.5 = 9687.5 ltr