WORK-TIME AND UNITARY METHOD (CDS)

Total Questions: 53

31. A is thrice as efficient as B and hence completes a work in 40 days less than the number of days taken by B. What will be the number of days taken by both of them when working together? [2014 (II) Evening Shift ]

Correct Answer: (b) 15 days
Solution:Let A can finish the work = x days


32. If 10 persons can dig 8 ft trench in 12 days, then how many days will 8 persons take to dig 6 ft trench? [2014 (II) Evening Shift ]

Correct Answer: (d) 11.25 days
Solution:Let 8 persons will take x days.

33. 15 men complete a work in 16 days. If 24 men are employed, then the time required complete that work will be [2014 (I) Morning Shift]

Correct Answer: (c) 10 days
Solution:Let the work done be 1.

34. A can do a piece of work in 4 days and B can complete the same work in 12 days. What is the number of days required to do the same work together? [2014 (I) Morning Shift]

Correct Answer: (b) 3 days
Solution:A’s one day’s work = 1/4

35. X can do a work in 16 days. In how many days will the work be completed by Y , if the efficiency of Y is 60% more than that of X ? [2014 (I) Morning Shift]

Correct Answer: (a) 10 days
Solution:Efficiency is proportional to days

36. 2 men and 1 woman can complete a piece of work in 14 days, while 4 women and 2 men can do the same work in 8 days. If a man gets ₹90 per day, then what should be the wages per day of a woman? [2014 (I) Morning Shift]

Correct Answer: (b) ₹60
Solution:

37. 18 men can earn ` 360 in 5 days. How much money will 15 men earn in 9 days? [2014 (I) Morning Shift]

Correct Answer: (b) ₹540
Solution:

38. 20 workers working for 5 h per day complete a work in 10 days. If 25 workers are employed to work 10 h per day, then what is the time required to complete the work? [2014 (I) Morning Shift]

Correct Answer: (a) 4 days
Solution:

39. A can finish a work in 15 days, B in 20 days and C in 25 days. All these three worked together and earned ` 4700. The share of C is [2014 (I) Morning Shift]

Correct Answer: (a) ₹1200
Solution:A’s one day’s work = 1/15

40. 4 goats or 6 sheep can graze a field in 50 days. 2 goat and 9 sheep can graze the field in [2014 (I) Morning Shift]

Correct Answer: (d) 25 days
Solution:Part of field grazed by 4 goats in