TIME AND WORK MCQ SET 5
1. On a construction site , Pankaj and Tarun are two workers who have been assigned to break the stones for flooring . Pankaj can complete the work alone in 16 hours , while Tarun will take 24 hours . They decided to work on the alternate hours so that they can take rest in between . Pankaj started in the first hour and then Tarun and so on . In how many hours will they complete the work together if they work on the basis of alternate hours ?
(a) 23
(b) 22
(c) 19
(d) 21
Answer: C
2. A can do a piece of work in 12 days and B can do it in 30 days . The work on alternate days ; starting with A . In how many days will the work be completed ?
(a) 16 4/5
(b) 7 1/7
(c) 16 4/7
(d) 17 2/5
Answer: A
3. A can do a piece of work in 24 days and B can do it in 80 days . B works alone for 2 days and A works alone on the 3rd day . This process continues till the work is completed . In how many days will the work be completed ?
(a) 42
(b) 45
(c) 48
(d) 44
Answer: B
4. To do a certain work , A and B work on alternate days with B beginning the work on the first day . A alone can complete the same work in 24 days . If the work gets completed in 11 1/3 days , then B alone can complete 7/9th part of the original work in :
(a) 5 1/2 days
(b) 4 days
(c) 4 1/2 days
(d) 6 days
Answer: D
5. A , B and C can complete a work in 10 , 20 and 30 days and A started the work and they work in alternate days . Find in how many days total work will be completes .
(a) 15 5/6
(b) 14 2/3
(c) 12 2/3
(d) None of these
Answer: A
6. A alone can do a work in 11 days . B alone can do the same work in 22 days . C alone can do the same work in 33 days .
They work in the following manner :-
Day 1 :- A and B work
Day 2 :- B and C work
Day 3 :- C and A work
Day 4 :- A and B work
In how many days will the work be completed ?
(a) 12 days
(b) 3 days
(c) 6 days
(d) 9 days
Answer: D
7. Two men A and B , each working alone by working 12 hours per day , can complete a work in 20 days . for execution of the work , it was decided that A and B would be working for 8 and 6 hours per day , respectively , on alternate days starting with A . If it takes x days and y hours to complete the work then (x , y) is :
(a) (34 , 4)
(b) (33 , 4)
(c) (33 , 2)
(d) (34 , 2)
ย Answer: D
8. Four persons , P , Q , R , S were engaged for doing a task , with the comdition that P ; Q ; R ; S work , respectively . on (monday , Thursday) ; (Tuesdays , Fridays) ; (Wednesday , Saturday) ; (Sundays) . The task was began on a Monday , and got completed on the 15th day , which was also a Monday . If the efficiencies of P , Q , R , S in respect of doing this task were in the proportion 1 : 2 : 3 : 4 , then in how many days could R complete the task , working alone without break ?
(a) 12
(b) 13
(c) 10
(d) 11
Answer: D
9. Tim is thrice as good a workman as Joya and together they finish a piece of work in 75 days . In how many days will Tim alone finish the work ?
(a) 25 days
(b) 100 days
(c) 50 days
(d) 1/100 days
Answer: B
10.ย Person A can do one fifth of the work in 3 days , while B’s efficiency is half of that of A . In how many days A and B working together can do half of the work?
(a) 5
(b) 7
(c) 4
(d) 6
Answer: A
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