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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 103 · 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.Farhan can finish a job in 4 days and Meera in 18 days. Farhan works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
  2. 2.Rahul can finish a job in 8 days and Saanvi in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Nisha works three times as fast as Priya. Together they finish a job in 10 days. How many days would Priya take alone?
  4. 4.Farhan can finish a job in 8 days and Arjun in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  5. 5.Sneha can finish a job in 14 days and Nisha in 28 days. Sneha works alone for 2 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  6. 6.Arjun works three times as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
  7. 7.Aditya can finish a job in 15 days and Isha in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  8. 8.Priya and Dev together finish a job in 15 days. Priya alone takes 20 days. How many days would Dev take alone?
  9. 9.Isha works twice as fast as Meera. Together they finish a job in 12 days. How many days would Meera take alone?
  10. 10.Rahul can finish a job in 2 days and Diya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Zoya can finish a job in 6 days and Arjun in 20 days. Zoya works alone for 3 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  12. 12.Sneha can finish a job in 22 days and Priya in 11 days. Sneha works alone for 6 days and then stops. Priya finishes the rest. How many days does Priya take?
  13. 13.Vivaan can finish a job in 14 days and Priya in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Pooja and Ananya together finish a job in 2 days. Pooja alone takes 6 days. How many days would Ananya take alone?
  15. 15.Kavya can finish a job in 12 days and Arjun in 21 days. Kavya works alone for 4 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  16. 16.Meera can finish a job in 11 days and Rohan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Dev can finish a job in 11 days and Nisha in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Diya can finish a job in 4 days and Kavya in 6 days. Diya works alone for 2 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  19. 19.Farhan and Zoya together finish a job in 3 days. Farhan alone takes 4 days. How many days would Zoya take alone?
  20. 20.Kabir works twice as fast as Pooja. Together they finish a job in 4 days. How many days would Pooja take alone?
  21. 21.Diya can finish a job in 10 days and Ananya in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Zoya can finish a job in 4 days and Nisha in 8 days. Zoya works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  23. 23.Ananya and Pooja together finish a job in 12 days. Ananya alone takes 30 days. How many days would Pooja take alone?
  24. 24.Tara works three times as fast as Rohan. Together they finish a job in 7 days. How many days would Rohan take alone?
  25. 25.Ishaan can finish a job in 4 days and Manav in 20 days. Ishaan works alone for 3 days and then stops. Manav finishes the rest. How many days does Manav take?
  26. 26.Priya can finish a job in 12 days and Aarav in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Karan can finish a job in 12 days and Dev in 4 days. Karan works alone for 9 days and then stops. Dev finishes the rest. How many days does Dev take?
  28. 28.Meera and Manav together finish a job in 12 days. Meera alone takes 28 days. How many days would Manav take alone?
  29. 29.Diya and Tara together finish a job in 2 days. Diya alone takes 4 days. How many days would Tara take alone?
  30. 30.Priya and Arjun together finish a job in 4 days. Priya alone takes 20 days. How many days would Arjun take alone?
  31. 31.Rohan can finish a job in 18 days and Priya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Zoya works twice as fast as Nisha. Together they finish a job in 5 days. How many days would Nisha take alone?
  33. 33.Vivaan can finish a job in 15 days and Diya in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  34. 34.Aditya can finish a job in 6 days and Zoya in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  35. 35.Ananya can finish a job in 19 days and Pooja in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Kavya can finish a job in 10 days and Meera in 4 days. Kavya works alone for 5 days and then stops. Meera finishes the rest. How many days does Meera take?
  37. 37.Meera and Ishaan together finish a job in 5 days. Meera alone takes 6 days. How many days would Ishaan take alone?
  38. 38.Diya can finish a job in 15 days and Manav in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Pooja and Tara together finish a job in 12 days. Pooja alone takes 15 days. How many days would Tara take alone?
  40. 40.Isha can finish a job in 6 days and Ananya in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 9
  2. 40/9
  3. 40
  4. 23/120
  5. 24
  6. 16
  7. 7/60
  8. 60
  9. 36
  10. 38/21
  11. 10
  12. 8
  13. 112/15
  14. 3
  15. 14
  16. 99/20
  17. 21/110
  18. 3
  19. 12
  20. 12
  21. 27/170
  22. 2
  23. 20
  24. 28
  25. 5
  26. 12/5
  27. 1
  28. 21
  29. 4
  30. 5
  31. 90/23
  32. 15
  33. 4/5
  34. 13/60
  35. 38/21
  36. 2
  37. 30
  38. 165/26
  39. 60
  40. 30/7

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