Latest Wipro Aptitude Question SOLUTION: A and B working separately can do a piece of work in 20 and 24 days. They work on alternate days starting with B on the first day. In how many days will the work be completed?

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A and B working separately can do a piece of work in 20 and 24 days. They work on alternate days starting with B on the first day. In how many days will the work be completed?

Asked In Wipro (12 years ago)

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Read Solution (9) :

Arpit  (11 years ago)

Ans:20+24/2=22days

Is this solution Helpfull? Yes (10) | No (13)  

Dr.Dipin Singh  (12 years ago)

They will complete 1/20 + 1/24 = 11/120 work in 2 days
They together will complete 110/120 work in 20 days
After 20 days . 10/120 or 1/12 work will be left.
1/20 work is done by A on 21 st day
and balance will be done by B on 22nd day.

so total 22 days.

Is this solution Helpfull? Yes (9) | No (16)  

kirti komal  (11 years ago)

they will complete 1/24+1/20=11/120 work in 2 days.
they together can complete 11/12 work in 20 days
on 21st day B will complete 1/24 work, so now 1/24 work is left
on 22nd day a will complete the 1/24 work in 5/6 days.
so, total days = 21 (5/6)days.

Is this solution Helpfull? Yes (9) | No (2)  

Srinivas Rao  (8 years ago)

correct answer 21 5/6 days

Is this solution Helpfull? Yes (5) | No   

Biswajeet Goswami  (10 years ago)

The answer would be 22 days.
Soln : lets divide the piece of work into 600 parts(the lcm of 20 and 24), then in one day A will do 600/20 = 30 parts of work and B will do 600/24 = 25 parts of work. Summing together the parts of works done by A and B, we get that 550 parts will done in 20 days((30 + 25)*10). the rest 50 parts can be done by A and B in 2 days.

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BANYA MAHATO  (8 years ago)

1 day's of work (A+B)= 1/20 + 1/24=11/120 days
take 10 pair of days , so .... 10*11/120=11/12 days
remaining work =1-11/12=1/12 days
on 21th day if B is starting then =1/12- 1/24=1/24 days
on 22th day .now A's turn=20*1/24=5/6 days
so the total no. of days taken by both of them to finish the work = 21(5/6)days

Is this solution Helpfull? Yes (2) | No   

arya  (8 years ago)

A+B= 1/20+1/24= 6+5/120=11/120
means A efficiency 6 units per days and B's efficiency 5 units per day,,,,
now starting with a B alternate days
2 days work of A and B is 11 units
so,20 days work is 110 units
now its B turn to work on 21st day which is 115 units(B's 5 units per day)
now on 22nd day its A's turn which is 5/6 units
so 20+1+5/6= 21 5/6 days

Is this solution Helpfull? Yes (1) | No (1)  

Kaushal Kishor  (8 years ago)

my answer is 21and4/5days
Is it there in the option
??

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sanghmitra  (8 years ago)

Pls tell correct answer mine is 22 days

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