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Numerical Ability
Arithmetic
If a pipe can fill the tank within 6hrs. But due to leak it takes 30 min more. Now the tank is full then how much time will it take to empty the tank throught the leak.?
a) 78
b) 56
c) 66
d) 59
Read Solution (Total 10)
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- 78 hour
Let capacity be 6litres
then pipe takes 1litre/hour
pipe/leak = 6/6.5 litre/hour(as they are inveresly proplational)
so leak = 1/13 litre per hour
for 6 litres it will take 13*6 = 78 hour - 14 years agoHelpfull: Yes(58) No(20)
- let the flow of pipe is 1 lit/hr
so in 6 hrs 6 lites water is filled which is the capacity of tank(6 lit.)
it takes 0.5 hrs extra for leak.
which means water is leaking at the rate 0.5 liter per 6.5 hrs (because in 6 hrs tank without leak will fill 6 lit of water and if leaking it will take 6.5 hrs so extra water filled in 0.5 hrs is half liter which is the compensation of leaking in 6.5 hrs)
so 0.5 liters in 6.5 hrs leaking time required for 1 liter to leak is 13
therefore time required for 12 liters = 6.5*12=78[answer.] - 12 years agoHelpfull: Yes(14) No(5)
- 78
- 14 years agoHelpfull: Yes(11) No(17)
- ans a)78
- 14 years agoHelpfull: Yes(11) No(15)
- Pipe can fill the tank in 6hrs ie.1/6
Due to the leak it takes 30mins more ie.390/60mins=39/6
Time taken to empty the tank=(1/6)-(6/39)=3/234
answer is 234/3=78 - 11 years agoHelpfull: Yes(6) No(0)
- there's a formula:
time to leak completely = (-6.5 * 6)/(6.5-6) - 12 years agoHelpfull: Yes(4) No(5)
- let capacity of tank is 6Ltr
+A=6---1 Ltr/ Hrs
-B=?------((1-(12/13))=1/13
----------------------------------
a+b=6.5----6/6.5=12/13 Hrs
so time taken by leak to empty the tank=6/(1/13)=78 Ans. - 10 years agoHelpfull: Yes(2) No(1)
Let us assume capacity be 6litres
then pipe takes 1litre/hour
pipe/leak = 6/6.5 litre/hour(inveresly proplational)
so leak = 1/13 litre/hr
for 6 litres it will take
13*6 = 78 hour- 8 years agoHelpfull: Yes(0) No(0)
- work done by filling pipe in 1 hour=1/6
work done by leakage in 1 hour=6 hour 30s =6 30/60=6 1/2=13/2
hence time to empty the tank by leakin 1 hour=(1/6-1/13/2)=1/6 / 2/13=1/78
hence total time =78 hour . - 8 years agoHelpfull: Yes(0) No(0)
- 6*3=18#####6+1=78
- 8 years agoHelpfull: Yes(0) No(0)
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