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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 303 · 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.Ananya can finish a job in 8 days and Dev in 4 days. Ananya works alone for 4 days and then stops. Dev finishes the rest. How many days does Dev take?
  2. 2.Kabir and Karan together finish a job in 2 days. Kabir alone takes 4 days. How many days would Karan take alone?
  3. 3.Rohan can finish a job in 8 days and Sneha in 12 days. What fraction of the job do they finish if they work together for 2 days? =
  4. 4.Tara can finish a job in 4 days and Zoya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Diya and Priya together finish a job in 9 days. Diya alone takes 10 days. How many days would Priya take alone?
  6. 6.Rahul can finish a job in 8 days and Ishaan in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  7. 7.Karan and Manav together finish a job in 15 days. Karan alone takes 20 days. How many days would Manav take alone?
  8. 8.Dev can finish a job in 14 days and Ananya in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  9. 9.Manav can finish a job in 10 days and Kavya in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  10. 10.Nisha can finish a job in 10 days and Arjun in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  11. 11.Kavya can finish a job in 9 days and Karan in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Sneha can finish a job in 7 days and Ananya in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  13. 13.Dev can finish a job in 6 days and Meera in 9 days. Dev works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
  14. 14.Diya works three times as fast as Nisha. Together they finish a job in 5 days. How many days would Nisha take alone?
  15. 15.Sneha can finish a job in 10 days and Kabir in 13 days. What fraction of the job do they finish if they work together for 3 days? =
  16. 16.Karan can finish a job in 9 days and Arjun in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  17. 17.Sneha can finish a job in 13 days and Diya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  18. 18.Farhan can finish a job in 15 days and Kavya in 30 days. Farhan works alone for 5 days and then stops. Kavya finishes the rest. How many days does Kavya take?
  19. 19.Rohan works three times as fast as Nisha. Together they finish a job in 5 days. How many days would Nisha take alone?
  20. 20.Priya can finish a job in 13 days and Kavya in 17 days. What fraction of the job do they finish if they work together for 2 days? =
  21. 21.Tara works twice as fast as Ananya. Together they finish a job in 8 days. How many days would Ananya take alone?
  22. 22.Diya can finish a job in 12 days and Dev in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Rohan and Kabir together finish a job in 15 days. Rohan alone takes 30 days. How many days would Kabir take alone?
  24. 24.Sneha can finish a job in 17 days and Rohan in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  25. 25.Zoya can finish a job in 11 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. =
  26. 26.Meera works three times as fast as Vivaan. Together they finish a job in 10 days. How many days would Vivaan take alone?
  27. 27.Manav can finish a job in 4 days and Meera in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Rahul can finish a job in 8 days and Sneha in 16 days. Rahul works alone for 6 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  29. 29.Vivaan can finish a job in 13 days and Aditya in 26 days. Vivaan works alone for 11 days and then stops. Aditya finishes the rest. How many days does Aditya take?
  30. 30.Kabir works three times as fast as Dev. Together they finish a job in 6 days. How many days would Dev take alone?
  31. 31.Rahul can finish a job in 4 days and Vivaan in 30 days. Rahul works alone for 2 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  32. 32.Kabir can finish a job in 9 days and Ananya in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  33. 33.Diya and Pooja together finish a job in 2 days. Diya alone takes 3 days. How many days would Pooja take alone?
  34. 34.Ananya can finish a job in 13 days and Rahul in 16 days. What fraction of the job do they finish if they work together for 3 days? =
  35. 35.Tara can finish a job in 14 days and Isha in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  36. 36.Nisha can finish a job in 20 days and Manav in 8 days. Nisha works alone for 15 days and then stops. Manav finishes the rest. How many days does Manav take?
  37. 37.Dev can finish a job in 8 days and Aditya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Aditya and Vivaan together finish a job in 6 days. Aditya alone takes 7 days. How many days would Vivaan take alone?
  39. 39.Zoya can finish a job in 6 days and Priya in 24 days. Zoya works alone for 3 days and then stops. Priya finishes the rest. How many days does Priya take?
  40. 40.Tara works three times as fast as Pooja. Together they finish a job in 5 days. How many days would Pooja take alone?

Answer key

  1. 2
  2. 4
  3. 5/12
  4. 8/3
  5. 90
  6. 11/56
  7. 60
  8. 15/112
  9. 14/45
  10. 170/27
  11. 126/23
  12. 15/28
  13. 6
  14. 20
  15. 69/130
  16. 36/13
  17. 28/195
  18. 20
  19. 20
  20. 60/221
  21. 24
  22. 204/29
  23. 30
  24. 36/323
  25. 176/27
  26. 40
  27. 4/3
  28. 4
  29. 4
  30. 24
  31. 15
  32. 153/26
  33. 6
  34. 87/208
  35. 8/21
  36. 2
  37. 72/17
  38. 42
  39. 12
  40. 20

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