Time and Work problems
- 1. Sixty men can stitch 150 shirts in 30 days working 8 hours a day. In how many days can 35 men stitch 200 shirts working 6 hours a day ?
Options- A. 87.5
- B. 89
- C. 91.5
- D. 93.5 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 91.5
Explanation:
We have M1 D1 H1 / W1 = M2 D2 H2 / W2 (Variation rule)
(60 x 30 x 8)/ 150 = (35 x D2 x 6) / 200
D2 = (60 x 30 x 8 x 200) / (150 x 35 x 6) => D2 = 91.42 days =~ 91.5 days.
- 2. A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in ?
Options- A. 8 hrs
- B. 12 hrs
- C. 6 hrs
- D. 4 hrs Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 6 hrs
Explanation:
Suppose A, B and C take x, x/2 and x/3 respectively to finish the work.
Then, (1/x + 2/x + 3/x) = 1/2
=> 6/x = 1/2 => x = 12
So, B takes 6 hours to finish the work.
- 3. Two persons K and L can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days ?
Options- A. 1/6
- B. 1/3
- C. 2/3
- D. 1/18 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 1/6
Explanation:
K's one day's work = 1/30
L's one day's work = 1/45
(K + L)'s one day's work = 1/30 + 1/45 = 1/18
The part of the work completed in 3 days = 3 (1/18) = 1/6.
- 4. A and B together can do a piece of work in 9 days. If A does thrice the work of B in a given time, the time A alone will take to finish the work is
Options- A. 4 days
- B. 6 days
- C. 8 days
- D. 12 days Also asked in: Bank Exams
Correct Answer: 12 days
- 5. Ram and Shyam undertook a work for Rs 5600. Ram alone can do the work in 5 days and Shyam alone can do the work in 9 days. If they worktogether, then what will be the difference (in Rs.) in the amount they receive?
Options- A. 1800
- B. 2400
- C. 1600
- D. 2200 Also asked in: Bank Exams
Correct Answer: 1600
- 6. Raman can do a work in 5 days, Jatin can do the same work in 7 days and Sachin can do the same work in 9 days. If they do the same work together and they are paid Rs 2860, then what is the share (in Rs) of Raman?
Options- A. 1260
- B. 700
- C. 900
- D. 870 Also asked in: AIEEE, Bank Exams, CAT
Correct Answer: 1260
- 7. 10 women can do a piece of work in 6 days, 6 men can do same work in 5 days and 8 children can do it in 10 days. What is the ratio of the efficiency of a woman, a man and a child respectively?
Options- A. 4 : 6 : 3
- B. 4 : 5 : 3
- C. 2 : 4 : 3
- D. 4 : 8 : 3 Also asked in: Bank Exams
Correct Answer: 4 : 8 : 3
- 8. B would have taken 10 hours more than what A would have taken to complete a task if each of them worked alone. Working together they can complete the task in 12 hours. How many hours would B take to do 50% of the task?
Options- A. 30
- B. 15
- C. 20
- D. 10 Also asked in: Bank Exams
Correct Answer: 15
- 9. K is 4 times as fast as L and working together, they can complete a work in 24 days. In how many days can L alone complete the work ?
Options- A. 30 days
- B. 40 days
- C. 120 days
- D. 80 days Also asked in: GATE, CAT, Bank Exams, Bank PO, Bank Clerk
Correct Answer: 30 days
Explanation:
Given K=4L
-->K+L = 4L+L = 5L
These 5L people can complete the work in 24 days, which means L alone can do the work in (24 x 5)=120 days.
Hence, K alone can do the work in 120/4= 30 days.
- 10. K, L and M can do a piece of work in 20, 30 and 60 days respectively. In how many days can K do the total work if he is assisted by L and M on every third day ?
Options- A. 15 days
- B. 13 days
- C. 12 days
- D. 10 days Also asked in: GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst
Correct Answer: 15 days
Explanation:
In one day work done by K = 1/20
Work done by K in 2 days = 1/10
Work done by K,L,M on 3rd day =1/20 + 1/30 + 1/60 = 1/10
Therefore, workdone in 3 days is = 1/10 + 1/10 = 1/5
1/5th of the work will be completed at the end of 3 days.
The remaining work = 1 - 1/5 = 4/5
1/5 of work is completed in 3 days
Total work wiil be done in 3 x 5 = 15 days.
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