16) There are two water tanks A and B, A is much smaller
than B. While water fills at the rate of one litre every
hour in A, it gets filled up like 10, 20, 40, 80, 160... in
tank B. (At the end of first hour, B has 10 litres , second
hour it has 20, and so on). If tank B is 1/32 filled after
21 hours, what is the total duration required to fill it
completely?
a) 26 hrs b) 25 hrs c) 5 hrs d) 27 hrs
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Answer Posted / sherley
Given that B fills up at the rate 10, 20, 40 etc...
This is a geometric progression where a = 10 r = 2
so after 21 hrs liters in B = a*r21 = 10 * 221
This is equal to 1/32 volume of B
SO TOTAL VOLUME OF B = 32 * 10 * 221 which is =10 * 226
So hrs required to fill up B is 26
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