Latest Elitmus Aptitude Question SOLUTION: a swimming pool has 3 drain pipes .the first two pipes a and b operating simultaneously can empty the pool in half the time than c,the 3rd pipe alone takes to empty it.pipe a worki

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(#M40164242) ELITMUS Numerical Ability question Keep an EYE

a swimming pool has 3 drain pipes .the first two pipes a and b operating simultaneously can empty the pool in half the time than c,the 3rd pipe alone takes to empty it.pipe a working alone takes half the time taken by pipe b.together they take 6 hr 40min to empty the pool.time taken by pipe a to empty the pool is how much?

Asked In Elitmus Sniper (7 years ago)

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Read Solution (4) :

rajesh dharamdasani  (7 years ago)

A : B : C = 2x : x : 3x/2 => 4:2:3

together they can empty in 400 mints
in one minute 1/400
a can empty it in 1/400 * 4/9 = 1/900
900 mints or 15 hrs

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rajesh dharamdasani  (7 years ago)

is the answer 20/9 hrs or 2 2/9 hrs

Is this solution Helpfull? Yes (2) | No (1)  

rajat bhawsar  (7 years ago)

a,b and c complete the work in following days.
a->15 days
b->30 days
c->20 days

Is this solution Helpfull? Yes | No (1)  

abhi  (7 years ago)

Let a take x hrs to complete the work. So b will take 2x hrs to complete it.
Together they do the work in 6 hr 40 mins or 400 mins.
So (1/x + 1/2x) = 1/400 x=600.
a takes 600 mins or 10 hrs to complete the work. b takes 1200 mins or 20 hrs to complete it.
c will take twice of 6 hrs 40 mins or 800 or 13 hrs 20 mins to do it.

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