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17 Dec 2019, 00:48
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Difficulty:
55%
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Question Stats:
67% (02:08) correct
33%
(02:10)
wrong
based on 312
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Jack and Jill working separately complete a work in 8 days and 12 days respectively. If they work on alternate days starting with Jill on the first day, in how many days will the work be completed?
(A) \(9 \frac{1}{2}\) days
(B) \(9 \frac{2}{3}\) days
(C) \(10\) days
(D) \(10 \frac{8}{12}\) days
(E) \(12\) days
Are You Up For the Challenge: 700 Level Questions
(A) \(9 \frac{1}{2}\) days
(B) \(9 \frac{2}{3}\) days
(C) \(10\) days
(D) \(10 \frac{8}{12}\) days
(E) \(12\) days
Are You Up For the Challenge: 700 Level Questions
Archit3110
Updated on: 17 Dec 2019, 04:45
Originally posted by Archit3110 on 17 Dec 2019, 03:54.
Last edited by Archit3110 on 17 Dec 2019, 04:45, edited 1 time in total.
Last edited by Archit3110 on 17 Dec 2019, 04:45, edited 1 time in total.
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combined rate of Jack & Jill = 1/8 +1/12 ; 5/24
so in 2 days= 1 shift ; 5/24 work done ; in 4 shifts or 8 days; 20/24 ; 5/6 work done ; answer value should be 8<days<10 option CDE out
left with 1/6 work which Jill does at rate 1/12 or say it completes in 2 hrs or say ; 1/12th of day
IMO B;
\(9 \frac{2}{3}\) days
alternatively
LCM of Jack & Jill days (8,12) = 24 i.e they take 3,2 units respectively
total combined units beginning with Jill : 2+3+2+3+2+3+2+3+2 ; 22 units done left with 2 more which Jack can do in 2/3
total days ; 9 2/3 days
IMO B
so in 2 days= 1 shift ; 5/24 work done ; in 4 shifts or 8 days; 20/24 ; 5/6 work done ; answer value should be 8<days<10 option CDE out
left with 1/6 work which Jill does at rate 1/12 or say it completes in 2 hrs or say ; 1/12th of day
IMO B;
\(9 \frac{2}{3}\) days
alternatively
LCM of Jack & Jill days (8,12) = 24 i.e they take 3,2 units respectively
total combined units beginning with Jill : 2+3+2+3+2+3+2+3+2 ; 22 units done left with 2 more which Jack can do in 2/3
total days ; 9 2/3 days
IMO B
Bunuel
17 Dec 2019, 04:10
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Total work= LCM(8,12)=24
Jack can do 3 units of work per day
Jill can do 2 units of work per day
Work done in first 9 days= 2+3+2+3+2+3+2+3+2=22
Work left =24-22=2 units
Time taken by Jack to finish remaining work= 2/3 Days
Total number of days= \(9 \frac{2}{3}\) days
Jack can do 3 units of work per day
Jill can do 2 units of work per day
Work done in first 9 days= 2+3+2+3+2+3+2+3+2=22
Work left =24-22=2 units
Time taken by Jack to finish remaining work= 2/3 Days
Total number of days= \(9 \frac{2}{3}\) days
Bunuel
