Syntel
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Numerical Ability
Pipes and Cistern
One pipe fills in 4 hrs and another in 5hrs when they both work alternately
how much time will be taken to fill the tank.
Read Solution (Total 9)
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- The que is little incomplete..as it should be stated that which pipe will start first..due to which we will find minimum time..In 1 hour pipe A will fill 0.25 tank and pipe B will fill 0.2 tank so in 4 hour total work completed is 0.9..for remaining 0.1 work we will take for efficient pipe B..it will take time..
(0.1/0.25)=0.4 hour =24 minute...so total time is 4 hour 24 minute - 9 years agoHelpfull: Yes(25) No(3)
- one pipe fills the tank in 4 hrs so part filled by pipe in 1 hr= 1/4
another pipe fills the tank in 5 hrs so part filled by this pipe in 1 hr= 1/5
when both the pipes fill the tank in 1 hr = 1/4+1/5 = 9/20
so the time will be take to fill the tank full = 20/9 hrs or 2.23 hrs - 8 years agoHelpfull: Yes(10) No(9)
- both work together can fill 9/20 in 1 hour
9/20*2=18/20 woek in 4 hour
rest work =1-18/20=2/20=1/10
1/10 work done by first pipe which take 4*1/10 h=24 min.
so total time=4 h24 m - 8 years agoHelpfull: Yes(6) No(0)
- let the work be 100%
now a can fill in 4 hr it means in 1 hour a can fill 25% of tank
similarly b can fill 20% of tank in 1 hr
so they work alternately
25%+20%+25%+20%+10%
4 hour 40 minutes - 9 years agoHelpfull: Yes(3) No(17)
- if both pipes are opened together then the solution will be like this
(In 1 hr )
both fill together 1/4 + 1/5 of the tank = 9/20
similarly in 2 hr = 9/20*2= 18/20
2/20 of tank is still left
9/20 of tank can be filled in =60 min
therefore 2/20 of tank can be filled in 13.13mins
total time taken 2hr 13 (1/3)mins - 8 years agoHelpfull: Yes(2) No(1)
- 4 hour 24 minute
- 8 years agoHelpfull: Yes(1) No(1)
- a's 1 hour work=1/4;
b's 1 hour work=1/5;
total work=1/4+1/5=9/20.
20/9hours - 8 years agoHelpfull: Yes(1) No(1)
- work done by both a and b = 1/4 + 1/5 = 9/20
so,total time taken to complete the work if both work together=20/9 hrs
time taken to fill the tank if they work alternatively= 2*20/9=40/9 hours - 8 years agoHelpfull: Yes(1) No(0)
- answer is 209 hours
- 8 years agoHelpfull: Yes(0) No(8)
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