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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 357 · 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.Saanvi can finish a job in 13 days and Vivaan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Tara can finish a job in 25 days and Farhan in 30 days. Tara works alone for 15 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  3. 3.Aditya and Isha together finish a job in 4 days. Aditya alone takes 5 days. How many days would Isha take alone?
  4. 4.Rohan and Diya together finish a job in 4 days. Rohan alone takes 6 days. How many days would Diya take alone?
  5. 5.Manav and Diya together finish a job in 2 days. Manav alone takes 6 days. How many days would Diya take alone?
  6. 6.Karan and Zoya together finish a job in 3 days. Karan alone takes 4 days. How many days would Zoya take alone?
  7. 7.Rahul can finish a job in 5 days and Karan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  8. 8.Nisha works three times as fast as Aarav. Together they finish a job in 6 days. How many days would Aarav take alone?
  9. 9.Dev can finish a job in 4 days and Aditya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Ishaan can finish a job in 9 days and Rohan in 30 days. Ishaan works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  11. 11.Kabir can finish a job in 6 days and Ananya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  12. 12.Dev and Nisha together finish a job in 6 days. Dev alone takes 24 days. How many days would Nisha take alone?
  13. 13.Aarav can finish a job in 14 days and Karan in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  14. 14.Tara can finish a job in 6 days and Kavya in 19 days. What fraction of the job do they finish if they work together for 3 days? =
  15. 15.Ananya works three times as fast as Diya. Together they finish a job in 3 days. How many days would Diya take alone?
  16. 16.Kabir can finish a job in 10 days and Isha in 20 days. Kabir works alone for 4 days and then stops. Isha finishes the rest. How many days does Isha take?
  17. 17.Diya can finish a job in 9 days and Priya in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Meera can finish a job in 9 days and Sneha in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  19. 19.Diya can finish a job in 3 days and Isha in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  20. 20.Vivaan can finish a job in 12 days and Pooja in 15 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Karan works twice as fast as Rohan. Together they finish a job in 7 days. How many days would Rohan take alone?
  22. 22.Kabir works three times as fast as Tara. Together they finish a job in 2 days. How many days would Tara take alone?
  23. 23.Farhan can finish a job in 6 days and Meera 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 works twice as fast as Aarav. Together they finish a job in 10 days. How many days would Aarav take alone?
  25. 25.Aarav can finish a job in 7 days and Meera in 8 days. What fraction of the job do they finish if they work together for 2 days? =
  26. 26.Rahul works twice as fast as Ananya. Together they finish a job in 12 days. How many days would Ananya take alone?
  27. 27.Pooja can finish a job in 12 days and Saanvi in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Aarav can finish a job in 7 days and Meera in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Kavya works three times as fast as Meera. Together they finish a job in 6 days. How many days would Meera take alone?
  30. 30.Ishaan can finish a job in 19 days and Zoya in 20 days. What fraction of the job do they finish if they work together for 2 days? =
  31. 31.Karan can finish a job in 19 days and Ishaan in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  32. 32.Sneha can finish a job in 16 days and Kavya in 15 days. What fraction of the job do they finish if they work together for 3 days? =
  33. 33.Zoya works twice as fast as Kabir. Together they finish a job in 4 days. How many days would Kabir take alone?
  34. 34.Saanvi works twice as fast as Dev. Together they finish a job in 3 days. How many days would Dev take alone?
  35. 35.Diya and Ishaan together finish a job in 2 days. Diya alone takes 6 days. How many days would Ishaan take alone?
  36. 36.Dev and Vivaan together finish a job in 10 days. Dev alone takes 14 days. How many days would Vivaan take alone?
  37. 37.Farhan can finish a job in 4 days and Ishaan in 24 days. Farhan works alone for 3 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  38. 38.Kabir can finish a job in 14 days and Rahul in 21 days. Kabir works alone for 12 days and then stops. Rahul finishes the rest. How many days does Rahul take?
  39. 39.Nisha can finish a job in 7 days and Meera in 21 days. Nisha works alone for 3 days and then stops. Meera finishes the rest. How many days does Meera take?
  40. 40.Vivaan can finish a job in 4 days and Rahul in 30 days. Vivaan works alone for 2 days and then stops. Rahul finishes the rest. How many days does Rahul take?

Answer key

  1. 104/21
  2. 12
  3. 20
  4. 12
  5. 3
  6. 12
  7. 20/9
  8. 24
  9. 76/23
  10. 20
  11. 21/5
  12. 8
  13. 9/14
  14. 25/38
  15. 12
  16. 12
  17. 171/28
  18. 32/63
  19. 30/13
  20. 3/20
  21. 21
  22. 8
  23. 78/19
  24. 30
  25. 15/28
  26. 36
  27. 204/29
  28. 133/26
  29. 24
  30. 39/190
  31. 37/114
  32. 31/80
  33. 12
  34. 9
  35. 3
  36. 35
  37. 6
  38. 3
  39. 12
  40. 15

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