Latest Syntel Aptitude Question SOLUTION: A cistern can be filled by two pipes A and B in 7 1/2 h. Both of them are open for 2 1/2 h and then B is closed. A alone now require 6 2/3 h more to fill cistern. How long would A

• Placement Papers
• /
• Syntel
• /
• Numerical Ability
• /
• Time and Work

Syntel Question Papers: Syntel Interview Experience(3) SYNTEL Company Profile

(#M40007062) SYNTEL Numerical Ability question pipes and cisterns problem Keep an EYE

A cistern can be filled by two pipes A and B in 7 1/2 h. Both of them are open for 2 1/2 h and then B is closed. A alone now require 6 2/3 h more to fill cistern. How long would A take to fill the cistern working alone?
[A] 8 h
[C] 9 h
[B] 7 h
[D] 10 h

Asked In Syntel (12 years ago)

Solved Abha Read Solution (5)

Is this Puzzle helpful?   (18)   (8) Submit Your Solution Time and Work

Read Solution (5) :

Abha  (11 years ago)

(A+B) 1 hr work=2/15 (A+B)'s work in 5/2 hrs=2/15*5/2=1/3
Remaining Part=1-1/3=2/3
since A fills 2/3 parts in 20/3 hrs
so A fills 1 part in(20/3*3/2)hrs=10hrs
Answer:-10hrs

Is this solution Helpfull? Yes (38) | No   

birenparekh  (12 years ago)

A n B both fill the cistern in 15/2 hours..so 2/15 part in 1 hour..
Now,both are open for 5/2 hours=5/2(2/15)=1/3
Remaining part=1-1/3=2/3
So.A is fill 2/3 part by 2o/3 hours...
So,how many time it take for filling 1/3 part?.=(1/3*3/2*20/3)=10/3 hours.
So cistern can be fill in total=(10/3+20/3)=10 hr

Ans is 10 hr

Is this solution Helpfull? Yes (19) | No (1)  

MUKESH KUMAR  (10 years ago)

a+b=2/15

(a+b)*5/2 + a*(20/3) =1

55a+15b=6,
15a+15b=2

So, a can do it in 10 hours.

Is this solution Helpfull? Yes (3) | No (1)  

Ashish Sarkar  (9 years ago)

we know that A+B 's 1hr work =2/15 and then work done in 5/2 hrs is=5/2*2/15=1/3
so remaining part=1-1/3=2/3
now A alone require 20/3 hr to fill cistern ,so A alone will take=2/3*x=20/3 =>x=10
So 10 hrs is the answer.

Is this solution Helpfull? Yes | No   

Devendra Marghade  (5 years ago)

(D) 10 hours

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.