Quote:
Originally Posted by brajesh.pandey
P Q R can do a job in 6 7 and 14 days respectively.They start to work together at 10:00 am. P left after 2 hours Q left 20 minutes before the completion of work.
When did they finish the work>
1>1:20 pm
2>1:40 pm
3>2:20 pm
4>2:40 pm
Please help with a detailed solution?
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srry but can u comfirm that the qn says 6 , 7 , 14
days thnx man!!
edit if it is hrs then 1 : 20 pm
heres hw!!
let the total wrk be 42 (lcm of 6 , 7 , 14)
p does 42 in 6 hrs so in 1 hr = 7
q = 6
r = 3
so they wrk 2gther fr 2 hrs
means 7+6+3 their combined efficiencies ie 16 x 2 = 32 ---(1)
now since q leaves 20 mins befor completion r must ve completed the job in those 20 mins r does 3x wrk in 1 hr so 20 min = 3/3 = 1x work
42 - 1 = 41
p left at 32
so 41 - 32 = 9 / (6 + 3)
hence 1 hr
so 2 + 1 + 1/3 hrs