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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 230 · 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.Priya and Diya together finish a job in 8 days. Priya alone takes 10 days. How many days would Diya take alone?
  2. 2.Isha works twice as fast as Zoya. Together they finish a job in 4 days. How many days would Zoya take alone?
  3. 3.Farhan can finish a job in 7 days and Karan in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  4. 4.Manav can finish a job in 5 days and Ananya in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  5. 5.Arjun works three times as fast as Isha. Together they finish a job in 7 days. How many days would Isha take alone?
  6. 6.Kabir can finish a job in 17 days and Meera in 12 days. What fraction of the job do they finish if they work together for 3 days? =
  7. 7.Rohan can finish a job in 10 days and Manav in 4 days. Rohan works alone for 5 days and then stops. Manav finishes the rest. How many days does Manav take?
  8. 8.Meera and Aarav together finish a job in 14 days. Meera alone takes 18 days. How many days would Aarav take alone?
  9. 9.Diya can finish a job in 7 days and Tara in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Nisha can finish a job in 14 days and Vivaan in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Kabir can finish a job in 11 days and Isha in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Kabir can finish a job in 7 days and Zoya in 14 days. Kabir works alone for 4 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  13. 13.Aarav and Farhan together finish a job in 4 days. Aarav alone takes 20 days. How many days would Farhan take alone?
  14. 14.Diya works twice as fast as Saanvi. Together they finish a job in 5 days. How many days would Saanvi take alone?
  15. 15.Nisha can finish a job in 6 days and Zoya in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  16. 16.Dev and Karan together finish a job in 7 days. Dev alone takes 8 days. How many days would Karan take alone?
  17. 17.Rohan works twice as fast as Kavya. Together they finish a job in 2 days. How many days would Kavya take alone?
  18. 18.Tara can finish a job in 14 days and Manav in 7 days. Tara works alone for 10 days and then stops. Manav finishes the rest. How many days does Manav take?
  19. 19.Arjun works twice as fast as Diya. Together they finish a job in 10 days. How many days would Diya take alone?
  20. 20.Isha can finish a job in 6 days and Saanvi in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  21. 21.Rohan can finish a job in 19 days and Tara in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  22. 22.Sneha can finish a job in 16 days and Ananya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Kabir can finish a job in 27 days and Ananya in 9 days. Kabir works alone for 6 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  24. 24.Tara works twice as fast as Dev. Together they finish a job in 2 days. How many days would Dev take alone?
  25. 25.Meera can finish a job in 12 days and Aarav in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  26. 26.Tara can finish a job in 19 days and Kabir in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Farhan works twice as fast as Pooja. Together they finish a job in 6 days. How many days would Pooja take alone?
  28. 28.Kabir and Karan together finish a job in 14 days. Kabir alone takes 18 days. How many days would Karan take alone?
  29. 29.Meera and Zoya together finish a job in 10 days. Meera alone takes 30 days. How many days would Zoya take alone?
  30. 30.Pooja can finish a job in 8 days and Nisha in 16 days. Pooja works alone for 6 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  31. 31.Aarav can finish a job in 16 days and Saanvi in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Arjun and Farhan together finish a job in 21 days. Arjun alone takes 30 days. How many days would Farhan take alone?
  33. 33.Kabir can finish a job in 16 days and Zoya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Vivaan can finish a job in 12 days and Aarav in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  35. 35.Ishaan and Tara together finish a job in 4 days. Ishaan alone takes 20 days. How many days would Tara take alone?
  36. 36.Diya can finish a job in 11 days and Ishaan in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Nisha can finish a job in 16 days and Saanvi in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Nisha can finish a job in 3 days and Arjun in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Nisha and Dev together finish a job in 3 days. Nisha alone takes 4 days. How many days would Dev take alone?
  40. 40.Kabir works twice as fast as Rohan. Together they finish a job in 7 days. How many days would Rohan take alone?

Answer key

  1. 40
  2. 12
  3. 25/63
  4. 17/20
  5. 28
  6. 29/68
  7. 2
  8. 63
  9. 84/19
  10. 18/35
  11. 110/21
  12. 6
  13. 5
  14. 15
  15. 11/15
  16. 56
  17. 6
  18. 2
  19. 30
  20. 13/21
  21. 39/380
  22. 176/27
  23. 7
  24. 6
  25. 7/36
  26. 285/34
  27. 18
  28. 63
  29. 15
  30. 4
  31. 27/80
  32. 70
  33. 112/15
  34. 17/60
  35. 5
  36. 25/154
  37. 48/19
  38. 12/5
  39. 12
  40. 21

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