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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 422 · 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 10 days and Rohan in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Zoya can finish a job in 17 days and Aditya in 4 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 18 days and Meera in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Ishaan works twice as fast as Diya. Together they finish a job in 9 days. How many days would Diya take alone?
  5. 5.Zoya works three times as fast as Meera. Together they finish a job in 9 days. How many days would Meera take alone?
  6. 6.Aarav can finish a job in 18 days and Zoya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Manav and Kavya together finish a job in 4 days. Manav alone takes 6 days. How many days would Kavya take alone?
  8. 8.Manav and Meera together finish a job in 8 days. Manav alone takes 12 days. How many days would Meera take alone?
  9. 9.Ishaan can finish a job in 11 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. =
  10. 10.Tara can finish a job in 10 days and Isha in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Ananya can finish a job in 13 days and Isha in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  12. 12.Sneha can finish a job in 25 days and Nisha in 10 days. Sneha works alone for 20 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  13. 13.Tara and Pooja together finish a job in 4 days. Tara alone takes 12 days. How many days would Pooja take alone?
  14. 14.Arjun can finish a job in 9 days and Manav in 5 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Karan works three times as fast as Aditya. Together they finish a job in 4 days. How many days would Aditya take alone?
  16. 16.Aarav and Zoya together finish a job in 4 days. Aarav alone takes 5 days. How many days would Zoya take alone?
  17. 17.Ishaan can finish a job in 2 days and Priya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Ananya works three times as fast as Sneha. Together they finish a job in 10 days. How many days would Sneha take alone?
  19. 19.Aditya and Rahul together finish a job in 3 days. Aditya alone takes 6 days. How many days would Rahul take alone?
  20. 20.Ananya can finish a job in 28 days and Arjun in 14 days. Ananya works alone for 16 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  21. 21.Meera can finish a job in 19 days and Kavya in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  22. 22.Sneha works twice as fast as Aditya. Together they finish a job in 7 days. How many days would Aditya take alone?
  23. 23.Isha can finish a job in 8 days and Meera in 10 days. Isha works alone for 4 days and then stops. Meera finishes the rest. How many days does Meera take?
  24. 24.Rahul and Pooja together finish a job in 3 days. Rahul alone takes 6 days. How many days would Pooja take alone?
  25. 25.Tara can finish a job in 11 days and Priya in 17 days. What fraction of the job do they finish if they work together for 3 days? =
  26. 26.Nisha can finish a job in 9 days and Zoya in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  27. 27.Tara and Aditya together finish a job in 10 days. Tara alone takes 12 days. How many days would Aditya take alone?
  28. 28.Arjun can finish a job in 13 days and Pooja in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Kavya can finish a job in 8 days and Priya in 28 days. Kavya works alone for 6 days and then stops. Priya finishes the rest. How many days does Priya take?
  30. 30.Tara can finish a job in 4 days and Nisha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Isha and Aarav together finish a job in 2 days. Isha alone takes 3 days. How many days would Aarav take alone?
  32. 32.Diya works twice as fast as Aditya. Together they finish a job in 8 days. How many days would Aditya take alone?
  33. 33.Aarav and Priya together finish a job in 3 days. Aarav alone takes 4 days. How many days would Priya take alone?
  34. 34.Priya can finish a job in 4 days and Tara in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Dev and Ananya together finish a job in 5 days. Dev alone takes 6 days. How many days would Ananya take alone?
  36. 36.Ananya works twice as fast as Diya. Together they finish a job in 6 days. How many days would Diya take alone?
  37. 37.Karan can finish a job in 19 days and Manav in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  38. 38.Vivaan works three times as fast as Aarav. Together they finish a job in 3 days. How many days would Aarav take alone?
  39. 39.Aditya works twice as fast as Aarav. Together they finish a job in 6 days. How many days would Aarav take alone?
  40. 40.Kabir works twice as fast as Meera. Together they finish a job in 4 days. How many days would Meera take alone?

Answer key

  1. 17/70
  2. 68/21
  3. 8/63
  4. 27
  5. 36
  6. 90/23
  7. 12
  8. 24
  9. 165/26
  10. 30/13
  11. 54/65
  12. 2
  13. 6
  14. 14/45
  15. 16
  16. 20
  17. 9/5
  18. 40
  19. 6
  20. 6
  21. 31/114
  22. 21
  23. 5
  24. 6
  25. 84/187
  26. 22/39
  27. 60
  28. 195/28
  29. 7
  30. 68/21
  31. 6
  32. 24
  33. 12
  34. 12/5
  35. 30
  36. 18
  37. 25/38
  38. 12
  39. 18
  40. 12

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