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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 208 · 40 questions
TalentJR

The method (LCM units): Take the whole job as the LCM of the days. Units a day for each person = job ÷ their days. Add for working together. Days = job ÷ units a day. The answer can be a fraction like 20/9 days. Someone works a few days and stops: find what is left, then share it out.

NameDateTime takenScore ___ / 40
  1. 1.Zoya can finish a job in 4 days and Ishaan in 24 days. Zoya works alone for 3 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  2. 2.Farhan can finish a job in 10 days and Saanvi in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Rohan can finish a job in 9 days and Diya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Rohan can finish a job in 14 days and Rahul in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Diya works three times as fast as Ananya. Together they finish a job in 9 days. How many days would Ananya take alone?
  6. 6.Kavya can finish a job in 6 days and Tara in 18 days. Kavya works alone for 2 days and then stops. Tara finishes the rest. How many days does Tara take?
  7. 7.Karan and Arjun together finish a job in 3 days. Karan alone takes 6 days. How many days would Arjun take alone?
  8. 8.Karan can finish a job in 4 days and Saanvi in 22 days. Karan works alone for 2 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  9. 9.Diya can finish a job in 5 days and Vivaan in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Diya and Manav together finish a job in 20 days. Diya alone takes 28 days. How many days would Manav take alone?
  11. 11.Nisha can finish a job in 7 days and Isha in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Priya can finish a job in 12 days and Kavya in 20 days. Priya works alone for 6 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  13. 13.Sneha can finish a job in 6 days and Tara in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  14. 14.Saanvi can finish a job in 19 days and Diya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Meera can finish a job in 9 days and Diya in 27 days. Meera works alone for 8 days and then stops. Diya finishes the rest. How many days does Diya take?
  16. 16.Farhan can finish a job in 6 days and Ananya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Rohan can finish a job in 30 days and Tara in 12 days. Rohan works alone for 25 days and then stops. Tara finishes the rest. How many days does Tara take?
  18. 18.Pooja can finish a job in 9 days and Priya in 18 days. Pooja works alone for 3 days and then stops. Priya finishes the rest. How many days does Priya take?
  19. 19.Isha and Rohan together finish a job in 9 days. Isha alone takes 10 days. How many days would Rohan take alone?
  20. 20.Sneha works twice as fast as Ananya. Together they finish a job in 10 days. How many days would Ananya take alone?
  21. 21.Rohan can finish a job in 4 days and Meera in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Rahul can finish a job in 16 days and Nisha in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Kabir and Aditya together finish a job in 7 days. Kabir alone takes 8 days. How many days would Aditya take alone?
  24. 24.Meera can finish a job in 8 days and Pooja in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Aarav can finish a job in 4 days and Zoya in 12 days. Aarav works alone for 3 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  26. 26.Karan can finish a job in 12 days and Meera in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Zoya and Aditya together finish a job in 18 days. Zoya alone takes 30 days. How many days would Aditya take alone?
  28. 28.Ananya can finish a job in 2 days and Saanvi in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Dev can finish a job in 21 days and Farhan in 28 days. Dev works alone for 15 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  30. 30.Isha can finish a job in 4 days and Nisha in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Arjun can finish a job in 15 days and Diya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Zoya can finish a job in 4 days and Aarav in 18 days. Zoya works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  33. 33.Manav works twice as fast as Nisha. Together they finish a job in 2 days. How many days would Nisha take alone?
  34. 34.Ishaan works twice as fast as Farhan. Together they finish a job in 4 days. How many days would Farhan take alone?
  35. 35.Dev can finish a job in 10 days and Ananya in 25 days. Dev works alone for 8 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  36. 36.Dev works three times as fast as Manav. Together they finish a job in 2 days. How many days would Manav take alone?
  37. 37.Diya can finish a job in 17 days and Kavya in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  38. 38.Diya can finish a job in 6 days and Priya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Saanvi can finish a job in 10 days and Aarav in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  40. 40.Ishaan can finish a job in 10 days and Nisha in 13 days. What fraction of the job do they finish if they work together for 3 days? =

Answer key

  1. 6
  2. 40/9
  3. 18/11
  4. 28/9
  5. 36
  6. 12
  7. 6
  8. 11
  9. 22/85
  10. 70
  11. 126/25
  12. 10
  13. 7/12
  14. 247/32
  15. 3
  16. 3/2
  17. 2
  18. 12
  19. 90
  20. 30
  21. 28/11
  22. 31/240
  23. 56
  24. 17/72
  25. 3
  26. 228/31
  27. 45
  28. 14/9
  29. 8
  30. 20/9
  31. 60/7
  32. 9
  33. 6
  34. 12
  35. 5
  36. 8
  37. 26/153
  38. 66/17
  39. 90/19
  40. 69/130

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