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ANSWERS - HURDLE 14 : TIME AND WORK
Ans 1. 30 %
Ans 2. 1.5 days required so working on alternate days
he will complete on Wednesday.
Ans 3. 3 full days required so
will finish on 6-1 = on 5th
Ans 4. 4.5 days required so will
complete on 9th
Ans 5. 6 full days with full efficiency required so
will complete on 24th
Ans 6. 1
Ans7. 1+1/8
Ans8. 1+1/5
Ans 9. 9/
11
Ans 10. 1+4/5
Ans 11. 2
Ans12. 2+4/7
Ans13. 1+5/13
Ans14. 18/19
Ans15. 6/7
Ans16. 18/25
Ans17. 46.66 %
Ans18. Require 18 +2/3 continuos days, if working
alternate days will finish on 38th day so 5 weeks + 3 days. So on
Wednesday
Ans19. 14 days so on 27th
Ans20. 9+1/3 full days so on 19th
Ans21.7 full days with full efficiency, so on 28th
Ans22. 8 ,
Ans23. 6+2/9
Ans24. 5+1/11
Ans25. 4+4/13
Ans26. 5+3/5
Ans27. 4+2/3
Ans28. 4
Ans29. 3+1/9
Ans30. 3+5/17
Ans31. 3+11/15
Ans32. 2+
2/3
Ans33. 50 %
Ans34. Total days required = 11 so Thursday
Ans35. 12 full days required so will finish on 23rd
Ans36. 80 days
required , cannot determine the date as different month have
different number of days
Ans37. 5
Ans38. 4
Ans39. 4+8/13
Ans40. 2+8/11
Ans41. 3+1/3)
Ans42. 7+1/2
Ans43. 3+9/17
Ans44. 4
Ans45. 3
Ans46. 2+2/5
Ans47. 2+2/9
Ans48. 2
Ans49. C , Ans50. E , Ans51. I , Ans52. L , Ans53. A , Ans54. F
+++++++++++++++++++++++++
SOLUTIONS OF SOME OF THE QUESTIONS ARE AS FOLLOWS
, THE REMAINING MAY BE SOLVED USING THE SAME
METHOD.
Solution17. A can do 1/40 of work In 1 day.
B can do 1/30 of work in 1 day.
C can do 1/20 of work in 1 day.
D can do 1/15 of work in 1 day.
As A and D leave the work at the end of 2nd day. B leaves the
work at the end of 3rd day. Only C continues till the end of day 5.
The amount of work done at the end of day 5 is:
2/40 + 3/30 + 5/20 + 2/15 = 8/15.
So balance work = 1- 8/15 = 7/15. = 46.66 %
Solution18. Since A can do the job in 40 days.
7/15 work will be done in 40 * 7/15 = 18+2/3 day.
When working alternate days will finish on 38th day . That is 5
weeks + 3 days . So it will be Wednesday.
Solution19. Since B can do the job in 30 days.
7/15 of the balance job will be done by him in 30 *7/15 = 14
continuos days.
When working on alternate days will take 28-1 = 27 days.
Solution20. 9 +1/3 full days. So on 19th he will complete.
Solution22. In 1 day A and B together can do 1/40 + 1/30 = 7/120 of
work.
so 7/15 of job can be done in (120/7) * (7/15) = 8 days.
Solution25. In 1 day A, B and C together can do 1/40 + 1/30 + 1/20 =
13/120.
so 7/15 0f the job can be done in (120/13) * (7/15)= 4+4/13 days.
Solution32. In 1 day the 4 of them can do 1/40 + 1/30 + 1/20 + 1/15=
21/120.
so 7/15 of the job can be done in (120/21) * (7/15)= 2+2/3 days.
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