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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 60 · 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.Isha works three times as fast as Arjun. Together they finish a job in 3 days. How many days would Arjun take alone?
  2. 2.Rohan can finish a job in 8 days and Kavya in 24 days. Rohan works alone for 1 day and then stops. Kavya finishes the rest. How many days does Kavya take?
  3. 3.Diya can finish a job in 14 days and Saanvi in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Aarav and Saanvi together finish a job in 5 days. Aarav alone takes 10 days. How many days would Saanvi take alone?
  5. 5.Dev and Pooja together finish a job in 5 days. Dev alone takes 10 days. How many days would Pooja take alone?
  6. 6.Tara can finish a job in 18 days and Priya in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  7. 7.Pooja works three times as fast as Rahul. Together they finish a job in 10 days. How many days would Rahul take alone?
  8. 8.Diya can finish a job in 4 days and Nisha in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Manav can finish a job in 7 days and Priya in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Aarav can finish a job in 12 days and Isha in 28 days. Aarav works alone for 6 days and then stops. Isha finishes the rest. How many days does Isha take?
  11. 11.Sneha can finish a job in 2 days and Zoya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Rohan can finish a job in 10 days and Ishaan in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  13. 13.Sneha can finish a job in 15 days and Arjun in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Isha can finish a job in 5 days and Saanvi in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  15. 15.Manav can finish a job in 14 days and Saanvi in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Aarav works twice as fast as Saanvi. Together they finish a job in 6 days. How many days would Saanvi take alone?
  17. 17.Vivaan and Ishaan together finish a job in 10 days. Vivaan alone takes 15 days. How many days would Ishaan take alone?
  18. 18.Ananya can finish a job in 16 days and Priya in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  19. 19.Vivaan can finish a job in 6 days and Rahul in 27 days. Vivaan works alone for 2 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  20. 20.Sneha can finish a job in 12 days and Zoya in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Kabir can finish a job in 4 days and Diya in 24 days. Kabir works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  22. 22.Isha can finish a job in 15 days and Aditya in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Sneha and Tara together finish a job in 4 days. Sneha alone takes 6 days. How many days would Tara take alone?
  24. 24.Ishaan and Nisha together finish a job in 10 days. Ishaan alone takes 14 days. How many days would Nisha take alone?
  25. 25.Diya can finish a job in 7 days and Pooja in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Dev can finish a job in 2 days and Manav in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Ananya can finish a job in 4 days and Kabir in 8 days. Ananya works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  28. 28.Sneha can finish a job in 7 days and Aditya in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  29. 29.Karan and Ananya together finish a job in 6 days. Karan alone takes 24 days. How many days would Ananya take alone?
  30. 30.Aarav and Kabir together finish a job in 2 days. Aarav alone takes 3 days. How many days would Kabir take alone?
  31. 31.Ananya can finish a job in 5 days and Karan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Aarav can finish a job in 6 days and Isha in 22 days. Aarav works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?
  33. 33.Diya and Saanvi together finish a job in 2 days. Diya alone takes 6 days. How many days would Saanvi take alone?
  34. 34.Kabir can finish a job in 7 days and Isha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Aarav can finish a job in 18 days and Saanvi in 9 days. Aarav works alone for 16 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  36. 36.Manav works three times as fast as Pooja. Together they finish a job in 9 days. How many days would Pooja take alone?
  37. 37.Vivaan and Rahul together finish a job in 2 days. Vivaan alone takes 6 days. How many days would Rahul take alone?
  38. 38.Manav can finish a job in 10 days and Aditya in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  39. 39.Meera can finish a job in 20 days and Farhan in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  40. 40.Tara works three times as fast as Ishaan. Together they finish a job in 3 days. How many days would Ishaan take alone?

Answer key

  1. 12
  2. 21
  3. 17/140
  4. 10
  5. 10
  6. 23/30
  7. 40
  8. 44/15
  9. 16/63
  10. 14
  11. 14/9
  12. 19/90
  13. 45/8
  14. 48/55
  15. 126/23
  16. 18
  17. 30
  18. 35/304
  19. 18
  20. 19/84
  21. 12
  22. 7/30
  23. 12
  24. 35
  25. 63/16
  26. 12/7
  27. 4
  28. 25/63
  29. 8
  30. 6
  31. 65/18
  32. 11
  33. 3
  34. 28/11
  35. 1
  36. 36
  37. 3
  38. 14/45
  39. 7/20
  40. 12

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