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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 451 · 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.Arjun and Manav together finish a job in 8 days. Arjun alone takes 12 days. How many days would Manav take alone?
  2. 2.Priya can finish a job in 12 days and Ishaan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  3. 3.Meera can finish a job in 15 days and Karan in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Rohan can finish a job in 7 days and Kabir in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  5. 5.Meera works three times as fast as Ananya. Together they finish a job in 7 days. How many days would Ananya take alone?
  6. 6.Saanvi can finish a job in 13 days and Tara in 26 days. Saanvi works alone for 1 day and then stops. Tara finishes the rest. How many days does Tara take?
  7. 7.Saanvi can finish a job in 5 days and Ananya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Sneha can finish a job in 8 days and Karan in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Meera and Arjun together finish a job in 10 days. Meera alone takes 20 days. How many days would Arjun take alone?
  10. 10.Kabir can finish a job in 5 days and Saanvi in 14 days. What fraction of the job do they finish if they work together for 3 days? =
  11. 11.Diya and Kabir together finish a job in 11 days. Diya alone takes 22 days. How many days would Kabir take alone?
  12. 12.Rohan works twice as fast as Nisha. Together they finish a job in 7 days. How many days would Nisha take alone?
  13. 13.Manav works twice as fast as Tara. Together they finish a job in 5 days. How many days would Tara take alone?
  14. 14.Isha works three times as fast as Pooja. Together they finish a job in 2 days. How many days would Pooja take alone?
  15. 15.Meera can finish a job in 19 days and Saanvi in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Rohan and Aditya together finish a job in 6 days. Rohan alone takes 15 days. How many days would Aditya take alone?
  17. 17.Diya and Kavya together finish a job in 3 days. Diya alone takes 4 days. How many days would Kavya take alone?
  18. 18.Zoya can finish a job in 19 days and Ishaan in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  19. 19.Ananya works twice as fast as Dev. Together they finish a job in 5 days. How many days would Dev take alone?
  20. 20.Isha and Tara together finish a job in 6 days. Isha alone takes 8 days. How many days would Tara take alone?
  21. 21.Meera can finish a job in 4 days and Nisha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Kavya and Diya together finish a job in 2 days. Kavya alone takes 4 days. How many days would Diya take alone?
  23. 23.Manav can finish a job in 7 days and Priya in 28 days. Manav works alone for 2 days and then stops. Priya finishes the rest. How many days does Priya take?
  24. 24.Isha can finish a job in 4 days and Saanvi in 20 days. Isha works alone for 3 days and then stops. Saanvi finishes the rest. How many days does Saanvi take?
  25. 25.Priya can finish a job in 6 days and Aarav in 27 days. Priya works alone for 2 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  26. 26.Isha can finish a job in 6 days and Meera in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Priya can finish a job in 6 days and Isha in 10 days. Priya works alone for 3 days and then stops. Isha finishes the rest. How many days does Isha take?
  28. 28.Diya and Aarav together finish a job in 4 days. Diya alone takes 12 days. How many days would Aarav take alone?
  29. 29.Tara works three times as fast as Ishaan. Together they finish a job in 11 days. How many days would Ishaan take alone?
  30. 30.Saanvi can finish a job in 9 days and Rahul in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  31. 31.Arjun works twice as fast as Ishaan. Together they finish a job in 12 days. How many days would Ishaan take alone?
  32. 32.Manav can finish a job in 3 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. =
  33. 33.Nisha works three times as fast as Arjun. Together they finish a job in 6 days. How many days would Arjun take alone?
  34. 34.Kavya can finish a job in 18 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. =
  35. 35.Priya works twice as fast as Manav. Together they finish a job in 10 days. How many days would Manav take alone?
  36. 36.Priya and Meera together finish a job in 3 days. Priya alone takes 4 days. How many days would Meera take alone?
  37. 37.Diya can finish a job in 8 days and Pooja in 11 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 4 days and Kavya in 16 days. Nisha works alone for 3 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  39. 39.Kavya and Farhan together finish a job in 7 days. Kavya alone takes 14 days. How many days would Farhan take alone?
  40. 40.Rohan works three times as fast as Dev. Together they finish a job in 12 days. How many days would Dev take alone?

Answer key

  1. 24
  2. 84/13
  3. 26/165
  4. 13/21
  5. 28
  6. 24
  7. 60/17
  8. 136/25
  9. 20
  10. 57/70
  11. 22
  12. 21
  13. 15
  14. 8
  15. 304/35
  16. 10
  17. 12
  18. 30/209
  19. 15
  20. 24
  21. 4/3
  22. 4
  23. 20
  24. 5
  25. 18
  26. 30/7
  27. 5
  28. 6
  29. 44
  30. 28/171
  31. 36
  32. 5/2
  33. 24
  34. 18/7
  35. 30
  36. 12
  37. 88/19
  38. 4
  39. 14
  40. 48

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