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Question

A machine P can print out one lakh books in 8 hours. Machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M.While machine P is stopped at 11 A.M. and remaining two machines completed the work. Approximately at what at what time will the work time (to print one lakh books) be finished?

11.30 Am

12 Noon

12.30 Pm

11.35 am

None of these

ANSWER : 5

Descrption

<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Machine P in 1 hour can print 1/8 of te books</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Machine Q in 1 hour can print 1/10 of te books</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Machine R in 1 hour can print 1/12 of te books</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Together in 1 hour they can print =  1/8  +  1/10  +  1/12  = (15  +  12  +  10)/120  =  37/120 of the books</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">They worked altogether from 9am to 11am  =  2 hours</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">So, together they printed  =  37/120&times;2  =  37/60 of the books</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Remaining books to be printed  =  1  -  37/60  =  23/60 of the books</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Now, machine Q and R together can print (1/10  +  1/12 = ) 11/60 of the books in 1 hour</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">So, they can print 23/60 of the books in 1&times;(23/60)&times;(60/11)  =  2.09 hours  =  125 min</span></p>
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">So, printing will be finished at 9am  +  125min  =  <strong>11:05am</strong> approximately.</span></p>

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