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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 176 · 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 7 days and Ishaan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Priya and Diya together finish a job in 4 days. Priya alone takes 5 days. How many days would Diya take alone?
  3. 3.Arjun works three times as fast as Ishaan. Together they finish a job in 2 days. How many days would Ishaan take alone?
  4. 4.Priya works twice as fast as Sneha. Together they finish a job in 2 days. How many days would Sneha take alone?
  5. 5.Tara can finish a job in 5 days and Diya in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  6. 6.Aarav can finish a job in 10 days and Isha in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  7. 7.Meera works three times as fast as Priya. Together they finish a job in 5 days. How many days would Priya take alone?
  8. 8.Nisha can finish a job in 6 days and Aarav in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  9. 9.Diya can finish a job in 11 days and Aarav in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Saanvi can finish a job in 11 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. =
  11. 11.Nisha can finish a job in 12 days and Diya in 18 days. Nisha works alone for 6 days and then stops. Diya finishes the rest. How many days does Diya take?
  12. 12.Aditya works twice as fast as Aarav. Together they finish a job in 11 days. How many days would Aarav take alone?
  13. 13.Manav can finish a job in 11 days and Dev in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  14. 14.Meera can finish a job in 20 days and Zoya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Tara can finish a job in 24 days and Ananya in 8 days. Tara works alone for 18 days and then stops. Ananya finishes the rest. How many days does Ananya take?
  16. 16.Isha and Diya together finish a job in 10 days. Isha alone takes 20 days. How many days would Diya take alone?
  17. 17.Arjun works twice as fast as Farhan. Together they finish a job in 10 days. How many days would Farhan take alone?
  18. 18.Farhan can finish a job in 14 days and Aditya in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  19. 19.Pooja works three times as fast as Vivaan. Together they finish a job in 3 days. How many days would Vivaan take alone?
  20. 20.Pooja and Vivaan together finish a job in 6 days. Pooja alone takes 9 days. How many days would Vivaan take alone?
  21. 21.Saanvi 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 2 days? =
  22. 22.Diya can finish a job in 12 days and Tara in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Diya can finish a job in 4 days and Ishaan in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  24. 24.Ananya can finish a job in 7 days and Isha in 6 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Vivaan can finish a job in 20 days and Priya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Meera can finish a job in 9 days and Zoya in 5 days. What fraction of the job do they finish if they work together for 3 days? =
  27. 27.Aditya and Diya together finish a job in 2 days. Aditya alone takes 4 days. How many days would Diya take alone?
  28. 28.Kabir can finish a job in 15 days and Rohan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Aarav can finish a job in 5 days and Rahul in 10 days. Aarav works alone for 3 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  30. 30.Isha works three times as fast as Kabir. Together they finish a job in 12 days. How many days would Kabir take alone?
  31. 31.Ishaan and Aarav together finish a job in 2 days. Ishaan alone takes 6 days. How many days would Aarav take alone?
  32. 32.Tara can finish a job in 17 days and Aarav in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  33. 33.Arjun can finish a job in 14 days and Kavya in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  34. 34.Sneha can finish a job in 20 days and Aarav in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Tara works three times as fast as Nisha. Together they finish a job in 12 days. How many days would Nisha take alone?
  36. 36.Aarav can finish a job in 9 days and Tara in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  37. 37.Ishaan can finish a job in 6 days and Rahul in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Ananya can finish a job in 24 days and Kabir in 16 days. Ananya works alone for 15 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  39. 39.Pooja can finish a job in 7 days and Priya in 28 days. Pooja works alone for 5 days and then stops. Priya finishes the rest. How many days does Priya take?
  40. 40.Vivaan can finish a job in 8 days and Ananya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 28/11
  2. 20
  3. 8
  4. 6
  5. 3/10
  6. 23/65
  7. 20
  8. 102/23
  9. 77/18
  10. 77/18
  11. 9
  12. 33
  13. 81/176
  14. 380/39
  15. 2
  16. 20
  17. 30
  18. 3/7
  19. 12
  20. 18
  21. 19/42
  22. 60/11
  23. 5/12
  24. 13/42
  25. 60/23
  26. 14/15
  27. 4
  28. 6
  29. 4
  30. 48
  31. 3
  32. 36/323
  33. 13/42
  34. 60/13
  35. 48
  36. 32/63
  37. 30/7
  38. 6
  39. 8
  40. 40/7

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