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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 419 · 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 can finish a job in 10 days and Farhan in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  2. 2.Pooja can finish a job in 14 days and Sneha in 28 days. Pooja works alone for 7 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  3. 3.Tara can finish a job in 18 days and Meera in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Kabir and Rohan together finish a job in 6 days. Kabir alone takes 15 days. How many days would Rohan take alone?
  5. 5.Diya can finish a job in 4 days and Sneha in 24 days. Diya works alone for 2 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  6. 6.Meera can finish a job in 16 days and Aarav in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Ananya works three times as fast as Meera. Together they finish a job in 5 days. How many days would Meera take alone?
  8. 8.Vivaan can finish a job in 17 days and Kavya in 4 days. What fraction of the job do they finish if they work together for 3 days? =
  9. 9.Pooja can finish a job in 4 days and Nisha in 24 days. Pooja works alone for 1 day and then stops. Nisha finishes the rest. How many days does Nisha take?
  10. 10.Zoya can finish a job in 13 days and Tara in 19 days. What fraction of the job do they finish if they work together for 2 days? =
  11. 11.Isha and Ishaan together finish a job in 2 days. Isha alone takes 3 days. How many days would Ishaan take alone?
  12. 12.Arjun works three times as fast as Ananya. Together they finish a job in 8 days. How many days would Ananya take alone?
  13. 13.Diya can finish a job in 15 days and Vivaan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Tara can finish a job in 18 days and Ananya in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  15. 15.Aarav can finish a job in 20 days and Dev in 6 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Arjun can finish a job in 4 days and Dev in 16 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Isha can finish a job in 9 days and Pooja in 27 days. Isha works alone for 2 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  18. 18.Diya works twice as fast as Sneha. Together they finish a job in 2 days. How many days would Sneha take alone?
  19. 19.Diya can finish a job in 15 days and Farhan in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Rahul and Kabir together finish a job in 16 days. Rahul alone takes 24 days. How many days would Kabir take alone?
  21. 21.Kabir can finish a job in 9 days and Manav in 6 days. Kabir works alone for 6 days and then stops. Manav finishes the rest. How many days does Manav take?
  22. 22.Nisha can finish a job in 18 days and Zoya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Zoya can finish a job in 15 days and Rohan in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Diya and Saanvi together finish a job in 4 days. Diya alone takes 8 days. How many days would Saanvi take alone?
  25. 25.Priya and Tara together finish a job in 7 days. Priya alone takes 8 days. How many days would Tara take alone?
  26. 26.Zoya can finish a job in 10 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. =
  27. 27.Aarav can finish a job in 7 days and Kabir in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Diya works three times as fast as Nisha. Together they finish a job in 4 days. How many days would Nisha take alone?
  29. 29.Ishaan and Kabir together finish a job in 6 days. Ishaan alone takes 18 days. How many days would Kabir take alone?
  30. 30.Ananya can finish a job in 2 days and Saanvi in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Priya can finish a job in 4 days and Meera in 12 days. What fraction of the job do they finish if they work together for 1 day? =
  32. 32.Rohan works twice as fast as Diya. Together they finish a job in 12 days. How many days would Diya take alone?
  33. 33.Arjun can finish a job in 20 days and Ananya in 11 days. What fraction of the job do they finish if they work together for 3 days? =
  34. 34.Ananya can finish a job in 5 days and Priya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  35. 35.Karan can finish a job in 18 days and Zoya in 27 days. Karan works alone for 2 days and then stops. Zoya finishes the rest. How many days does Zoya take?
  36. 36.Aarav can finish a job in 5 days and Farhan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  37. 37.Vivaan can finish a job in 19 days and Nisha in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  38. 38.Arjun and Diya together finish a job in 2 days. Arjun alone takes 3 days. How many days would Diya take alone?
  39. 39.Priya can finish a job in 12 days and Tara in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  40. 40.Ishaan and Isha together finish a job in 4 days. Ishaan alone takes 6 days. How many days would Isha take alone?

Answer key

  1. 7/20
  2. 14
  3. 25/126
  4. 10
  5. 12
  6. 208/29
  7. 20
  8. 63/68
  9. 18
  10. 64/247
  11. 6
  12. 32
  13. 20/3
  14. 5/36
  15. 13/20
  16. 16/5
  17. 21
  18. 6
  19. 3/20
  20. 48
  21. 2
  22. 45/7
  23. 195/28
  24. 8
  25. 56
  26. 6
  27. 126/25
  28. 16
  29. 9
  30. 38/21
  31. 1/3
  32. 36
  33. 93/220
  34. 10/7
  35. 24
  36. 10/7
  37. 36/323
  38. 6
  39. 19/28
  40. 12

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