Latest self Aptitude Question SOLUTION: p can complete a work in 16 days, which q can complete in 32 days. If p and q work on alternate days starting with q, in how much time would work be completed?

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(#M40007670) SELF question time and work Keep an EYE

p can complete a work in 16 days, which q can complete in 32 days. If p and q work on alternate days starting with q, in how much time would work be completed?

Phaneendra Sandeep (12 years ago)

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Phaneendra Sandeep  (12 years ago)

p in 16 days, q in 32 days. let work be 32 units.
So work done by p in 1 day is 2 units and q is 1 unit.
q is starting so on first day 1 unit of wok is done, on 2nd day 2units, 3rd day 1 unit......
1+2+1+2.......10 times means 20 days and work done is 30.
next day q will work 1unit. remaining 1 unit is completed by p in half day.
so 20+1+0.5=21.5 DAYS

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Vignesh  (12 years ago)

43 days take to complete the work.
p can complete a work in 16days = 16days of work.
same work q can complete in 32days. (i.e)Half of the work per day.
= (1/2)*32
= 16days work.
So, totally 32days work.
Work starting by q means,
In 22 days q finishes 11days work.
In 21 days p finishes 21days work.
Totally 32days work finished in 43days.

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Vignesh  (12 years ago)

43 days to complete the work.

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B.Senthil Kumar  (12 years ago)

1/32+1/16=3/32
10 pair of days they working so work done=30/32
remaining work=2/32=1/16
work done by q to complete 1/16 work=1/32*16=1/2 day
so totally 20+1/2=41/2 work is completed

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