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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 96 · 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.Rahul can finish a job in 5 days and Pooja in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Sneha works twice as fast as Manav. Together they finish a job in 12 days. How many days would Manav take alone?
  3. 3.Zoya can finish a job in 6 days and Aarav in 4 days. Zoya works alone for 3 days and then stops. Aarav finishes the rest. How many days does Aarav take?
  4. 4.Kavya works three times as fast as Tara. Together they finish a job in 7 days. How many days would Tara take alone?
  5. 5.Pooja can finish a job in 10 days and Arjun in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  6. 6.Saanvi can finish a job in 19 days and Priya in 10 days. What fraction of the job do they finish if they work together for 3 days? =
  7. 7.Farhan can finish a job in 5 days and Tara in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  8. 8.Kavya can finish a job in 6 days and Manav in 30 days. Kavya works alone for 4 days and then stops. Manav finishes the rest. How many days does Manav take?
  9. 9.Meera works three times as fast as Diya. Together they finish a job in 8 days. How many days would Diya take alone?
  10. 10.Pooja can finish a job in 18 days and Aditya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Tara can finish a job in 17 days and Zoya in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  12. 12.Vivaan can finish a job in 14 days and Isha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Manav can finish a job in 15 days and Diya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Kavya and Pooja together finish a job in 3 days. Kavya alone takes 4 days. How many days would Pooja take alone?
  15. 15.Nisha and Rohan together finish a job in 8 days. Nisha alone takes 24 days. How many days would Rohan take alone?
  16. 16.Ananya can finish a job in 16 days and Dev in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Vivaan works three times as fast as Aarav. Together they finish a job in 12 days. How many days would Aarav take alone?
  18. 18.Aarav works three times as fast as Ananya. Together they finish a job in 5 days. How many days would Ananya take alone?
  19. 19.Nisha can finish a job in 6 days and Ishaan in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  20. 20.Pooja works three times as fast as Aarav. Together they finish a job in 6 days. How many days would Aarav take alone?
  21. 21.Kabir can finish a job in 2 days and Meera in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Vivaan can finish a job in 9 days and Rahul in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  23. 23.Tara can finish a job in 10 days and Karan in 15 days. Tara works alone for 2 days and then stops. Karan finishes the rest. How many days does Karan take?
  24. 24.Karan can finish a job in 13 days and Rahul in 9 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Karan works three times as fast as Aditya. Together they finish a job in 10 days. How many days would Aditya take alone?
  26. 26.Ananya can finish a job in 4 days and Meera in 14 days. What fraction of the job do they finish if they work together for 2 days? =
  27. 27.Ishaan can finish a job in 4 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. =
  28. 28.Arjun can finish a job in 19 days and Meera in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  29. 29.Vivaan can finish a job in 15 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. =
  30. 30.Priya can finish a job in 11 days and Arjun in 22 days. Priya works alone for 10 days and then stops. Arjun finishes the rest. How many days does Arjun take?
  31. 31.Pooja and Ishaan together finish a job in 2 days. Pooja alone takes 3 days. How many days would Ishaan take alone?
  32. 32.Saanvi works three times as fast as Rohan. Together they finish a job in 8 days. How many days would Rohan take alone?
  33. 33.Ishaan can finish a job in 20 days and Isha in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  34. 34.Ishaan can finish a job in 5 days and Nisha in 30 days. Ishaan works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  35. 35.Ananya can finish a job in 6 days and Kavya in 16 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Rohan and Farhan together finish a job in 6 days. Rohan alone takes 7 days. How many days would Farhan take alone?
  37. 37.Nisha can finish a job in 6 days and Isha in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Nisha and Dev together finish a job in 10 days. Nisha alone takes 12 days. How many days would Dev take alone?
  39. 39.Diya works twice as fast as Karan. Together they finish a job in 10 days. How many days would Karan take alone?
  40. 40.Ananya can finish a job in 6 days and Kavya in 18 days. Ananya works alone for 2 days and then stops. Kavya finishes the rest. How many days does Kavya take?

Answer key

  1. 13/40
  2. 36
  3. 2
  4. 28
  5. 13/40
  6. 87/190
  7. 48/95
  8. 10
  9. 32
  10. 9/2
  11. 35/102
  12. 7/4
  13. 195/28
  14. 12
  15. 12
  16. 80/21
  17. 48
  18. 20
  19. 25/38
  20. 24
  21. 8/5
  22. 20/33
  23. 12
  24. 22/117
  25. 40
  26. 9/14
  27. 76/23
  28. 52/133
  29. 60/19
  30. 2
  31. 6
  32. 32
  33. 33/130
  34. 12
  35. 11/24
  36. 42
  37. 21/5
  38. 60
  39. 30
  40. 12

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