Latest CAT Aptitude Question SOLUTION: A fills spirit tanker in 8 hours and B fills in 12 hours. They are opened alternately for one hour each, starting with A at 10. When will the tank be filled? (a) 5.30PM (b) 6.00

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(#M40156437) CAT Numerical Ability question Pipes and Cisterns Keep an EYE

A fills spirit tanker in 8 hours and B fills in 12 hours. They are opened alternately for one hour each, starting with A at 10. When will the tank be filled?

(a) 5.30PM
(b) 6.00PM
(c) 7.30PM
(d) 10.00PM

Asked In CAT Sheetal Paul (7 years ago)

Solved Devendra Marghade Read Solution (1)

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Read Solution (1) :

Devendra Marghade  (7 years ago) Best Solution

(c) 7:30 PM

In 2 hours, (1/8)+(1/12)=5/24 tank is filled
So in 4*2=8 hours, 4*5/24=5/6 tank is filled
In 9th hour again A will fill, so total (5/6)+(1/8)=23/24 tank is filled and
In next hour remaining 1/24 will be filled by B, in (1/24)/(1/12)=1/2 hour
So total time taken, 9+1/2 hours.
Hence tank is filled at 10 AM+9 1/2 hours=7:30 PM

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