TIME AND WORK MCQ SET 6
1. In one sixth of the time that B takes to complete a piece of work , A can complete half of the same work . If working together they take 16 days to complete the work , how much time shall B take to complete it alone ?
(a) 38 days
(b) 76 days
(c) 44 days
(d) 64 days
Answer: D
2. A is 3 times as fast as B and is , therefore , able to complete a work in 32 days lesser than B . A and B , working together , can complete the work in _____ .
(a) 10 days
(b) 12 days
(c) 16 days
(d) 14 days
Answer: B
3. The ratio of time taken by Anamika and Bani to complete a work is 1 : 3 , respectively . Therefore , Anamika is able to finish a job in 40 days less than Bani . If they work together , they can complete the work in days .
(a) 20
(b) 10
(c) 15
(d) 25
Answer: C
4. To do a certain work , efficiencies of A and B are in the ratio 7 : 5 . Working together , they can complete the work in 17 1/2 days . In how many days , will B alone complete 50% of the same work ?
(a) 50
(b) 30
(c) 42
(d) 21
Answer: D
5. To do a certain work , the ratio or efficiencies of X and Y is 5 : 7 . Working together , X and Y can complete the same work in 70 days . X alone started the work and left after 42 days . Y alone will complete the remaining work in :-
(a) 90 days
(b) 96 days
(c) 80 days
(d) 72 days
Answer: A
6. Pranjal takes twice as much as Vikram and Thrice as much time as Ashwin to finish a piece of work . Working together , they can finish the work in 6 days . Vikram can do the work alone in :
(a) 18 days
(b) 9 days
(c) 15 days
(d) 12 days
Answer: A
7. A can do a certain work in 15 days . B is 25% more efficient than A . Both worked together for 4 days . C alone completed the remaining work in 8 days . A , B and C together will complete the same work in ?
(a) 5 days
(b) 4 1/2 days
(c) 6 1/2 days
(d) 4 days
ย Answer: A
8. Jack takes thrice as much time as Peter and twice as much as Justin to finish a work : working together they can finish the work in 15 days . The time (in days) Justin will take to finish the work alone is :
(a) 75
(b) 90
(c) 60
(d) 45
Answer: D
9. A and B together can finish a task in 12 days . If A worked half as efficiently as he usually does and B works thrice as efficiently as he usually does , the task gets completed in 9 days . How long would A take to finish the task if he worked independently?
(a) 12 days
(b) 24 days
(c) 27 days
(d) 18 days
Answer: D
10. A can complete a work in 16 1/2 days . B is 25% more efficient than A and C is 50% more efficient than B . Working together A , B and C will complete the same work .
(a) 8 days
(b) 4 days
(c) 3 days
(d) 5 days
Answer: B
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