tank & tap
Direction A tank has n inlet taps numbered as t(1), t(2), t(3), ..., tn. Any tap, t(i) where , can fill the entire tank in the same time as taken by all the lesser numbered taps i.e. t(1), t(2), t(3), ..., t(i-1) to fill the tank working simultaneously.
Q1. Find the ratio of the time in which the third tap, t(3), and the fifth tap, t(5), can fill the tank working individually.
1. 2 : 1
2. 4 : 1
3. 4 : 3
4. 7 : 2
Q2. Find the ratio of the time taken to fill the tank by the nth tap, t(n), individually and the time taken to fill the tank by all the n taps simultaneously.
1. 1 : 1
2. 2 : 1
3. 1 : 2
4. 2 : 5
n/a
Q2. Find the ratio of the time taken to fill the tank by the nth tap, t(n), individually and the time taken to fill the tank by all the n taps simultaneously.
1. 1 : 1
2. 2 : 1
3. 1 : 2
4. 2 : 5
if we take for time for nth tap=t(n)
then t(n) individual=t(n)+t(n-1)+t(n-2)+......+t(1)=2t(n)
so ans is 1:2
Little STar
corrcet me am i right or wrong??????????????????????????
n/a
Q1. Find the ratio of the time in which the third tap, t(3), and the fifth tap, t(5), can fill the tank working individually.
1. 2 : 1
2. 4 : 1
3. 4 : 3
4. 7 : 2
if we assume time for t(1)=t(1)
then
t(2)=t(1)
t(3)=t(1)+t(2)
t(4)=t(1)+t(2)+t(3)
..........
.........
now for t(3)=t(1)+t(2)=2t(1)
and t(5)=t(1)+t(2)+t(3)+t(4)=8t(1)
so ratio =8:2=4:1
n/a
n/a