Latest 3i-Infotech Aptitude Question SOLUTION: A copying machine "P" can copy 135 pages in 9 minutes, P and Q together can copy 300 pages in 12 minutes. In what time Q can copy 80 pages?

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A copying machine "P" can copy 135 pages in 9 minutes, P and Q together can copy 300 pages in 12 minutes. In what time Q can copy 80 pages?

Asked In 3i-Infotech chandreyee chowdhury (10 years ago)

Solved Devendra Marghade Read Solution (11)

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Read Solution (11) :

Devendra Marghade  (10 years ago)

8 min.

P, 1 min.=135/9= 15 pages
(P+Q), 1 min= 300/12= 25 pages
Q, 1 min.=25-15= 10 pages
So for 80 pages Q will take 80/10= 8 min.

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Pushpraj Singh  (10 years ago)

P copying 135 pages in 9 minutes.
so in 1 minute P copying=135/9=15 pages
P and Q both copying 300 pages in 12 minute.
so in 12 minute P coying the 12*15=180 pages.
so Q copying alone=300-180=120 pages.
according to question Q takes 12 minute for copying the pages.
so for 1 minute 120/12=10 pages.
because for 10 pages takes 1 minute
so 80 pages it's takes 8 minute
so ans is 8 minute.

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sumit gupta  (10 years ago)

p can copy 135 pages in 9 minute ..
or can copy 135/9 = 15 pages in 1 min
similarly p and q can copy 300/12 = 25 pages in 1 minute
so q can copy 25-15 = 10 pages in 1 miute
so it can copy 80 pages in 8 minute

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Subrata Patra  (10 years ago)

suppose x is the rate that Q m/c can copy pages in min
so
300=(135/9)*12+12x
then x=(300-180)/12=10
so Q will take 80/10=8 mins

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sruthi  (10 years ago)

p = 135 pages - 15pages/minute
p and q -300 pages - 25pages/min
q - 80 pages - -10 pages /min(25-15)
so for q,
80=10x
x=8

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MANOJ KUMAR MAHANTA  (10 years ago)

In one minute P will be print only 15 page.(15*9=135)
hence p+q =300-180=120 which is printed by q within 12 minute .But q will be printed only 10 page within the one minute hence it will take 8 minute to print 80 pages.

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Rahul singh  (10 years ago)

800minutes

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siddharam shivshankar hortikar  (10 years ago)

8 minutes
in 12 minutes ,p can copy 180 pages , remaining 120 copied by q
80 pages can be copied in 8 minutes

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pandurang  (10 years ago)

in 8 minutes it prints 80 pages

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sravani  (10 years ago)

135 pg ------------9mins
=>1min----15pg by P
300 pg ------------ 12 mins
=>1min----25 pg by both
so,15+Q=25
Q=10pg in 1min..
80pg take 8*1 mins=8mins...

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shivlahari saraswat  (9 years ago)

p' s 1 min work= 135/9=15 pages /min
so p' s 12 min work=15*12=180 pages
Q' s 12 min work=300-180 =120 pages
so Q 's 1 min work =120 /12=10 pages /min
now 80 pages are in 80 /10 = 8 min Answer

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