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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 90 · 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.Vivaan can finish a job in 18 days and Nisha in 27 days. Vivaan works alone for 14 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  2. 2.Diya can finish a job in 12 days and Karan in 15 days. Diya works alone for 8 days and then stops. Karan finishes the rest. How many days does Karan take?
  3. 3.Farhan works twice as fast as Zoya. Together they finish a job in 11 days. How many days would Zoya take alone?
  4. 4.Diya can finish a job in 3 days and Sneha in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Karan and Sneha together finish a job in 6 days. Karan alone takes 10 days. How many days would Sneha take alone?
  6. 6.Saanvi can finish a job in 11 days and Ananya in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Nisha can finish a job in 5 days and Meera in 7 days. What fraction of the job do they finish if they work together for 2 days? =
  8. 8.Ishaan and Karan together finish a job in 10 days. Ishaan alone takes 15 days. How many days would Karan take alone?
  9. 9.Vivaan works twice as fast as Arjun. Together they finish a job in 4 days. How many days would Arjun take alone?
  10. 10.Arjun and Aarav together finish a job in 6 days. Arjun alone takes 8 days. How many days would Aarav take alone?
  11. 11.Priya and Ananya together finish a job in 4 days. Priya alone takes 5 days. How many days would Ananya take alone?
  12. 12.Pooja can finish a job in 14 days and Kabir in 19 days. What fraction of the job do they finish if they work together for 1 day? =
  13. 13.Ishaan can finish a job in 7 days and Vivaan in 18 days. What fraction of the job do they finish if they work together for 2 days? =
  14. 14.Aarav works three times as fast as Dev. Together they finish a job in 11 days. How many days would Dev take alone?
  15. 15.Vivaan can finish a job in 4 days and Karan in 8 days. Vivaan works alone for 1 day and then stops. Karan finishes the rest. How many days does Karan take?
  16. 16.Pooja works twice as fast as Meera. Together they finish a job in 8 days. How many days would Meera take alone?
  17. 17.Manav can finish a job in 5 days and Pooja in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  18. 18.Dev can finish a job in 8 days and Aditya in 13 days. What fraction of the job do they finish if they work together for 2 days? =
  19. 19.Zoya can finish a job in 11 days and Arjun in 4 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Arjun can finish a job in 11 days and Meera in 17 days. What fraction of the job do they finish if they work together for 1 day? =
  21. 21.Kavya can finish a job in 11 days and Priya in 22 days. Kavya works alone for 10 days and then stops. Priya finishes the rest. How many days does Priya take?
  22. 22.Ananya works twice as fast as Manav. Together they finish a job in 2 days. How many days would Manav take alone?
  23. 23.Rahul can finish a job in 16 days and Saanvi in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Aditya and Sneha together finish a job in 10 days. Aditya alone takes 20 days. How many days would Sneha take alone?
  25. 25.Arjun works twice as fast as Diya. Together they finish a job in 2 days. How many days would Diya take alone?
  26. 26.Arjun can finish a job in 5 days and Tara in 20 days. Arjun works alone for 3 days and then stops. Tara finishes the rest. How many days does Tara take?
  27. 27.Isha works twice as fast as Rohan. Together they finish a job in 6 days. How many days would Rohan take alone?
  28. 28.Arjun can finish a job in 4 days and Manav in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Diya works three times as fast as Saanvi. Together they finish a job in 9 days. How many days would Saanvi take alone?
  30. 30.Aditya can finish a job in 5 days and Zoya in 18 days. What fraction of the job do they finish if they work together for 3 days? =
  31. 31.Ishaan and Zoya together finish a job in 6 days. Ishaan alone takes 15 days. How many days would Zoya take alone?
  32. 32.Zoya can finish a job in 11 days and Meera in 22 days. Zoya works alone for 10 days and then stops. Meera finishes the rest. How many days does Meera take?
  33. 33.Dev can finish a job in 4 days and Saanvi in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Saanvi works three times as fast as Arjun. Together they finish a job in 12 days. How many days would Arjun take alone?
  35. 35.Meera can finish a job in 6 days and Kabir in 21 days. Meera works alone for 2 days and then stops. Kabir finishes the rest. How many days does Kabir take?
  36. 36.Dev can finish a job in 18 days and Diya in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  37. 37.Saanvi can finish a job in 2 days and Zoya in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Isha works three times as fast as Saanvi. Together they finish a job in 9 days. How many days would Saanvi take alone?
  39. 39.Vivaan can finish a job in 11 days and Meera in 22 days. Vivaan works alone for 9 days and then stops. Meera finishes the rest. How many days does Meera take?
  40. 40.Aditya works twice as fast as Isha. Together they finish a job in 5 days. How many days would Isha take alone?

Answer key

  1. 6
  2. 5
  3. 33
  4. 39/16
  5. 15
  6. 33/14
  7. 24/35
  8. 30
  9. 12
  10. 24
  11. 20
  12. 33/266
  13. 25/63
  14. 44
  15. 6
  16. 24
  17. 15/8
  18. 21/52
  19. 15/44
  20. 28/187
  21. 2
  22. 6
  23. 48/19
  24. 20
  25. 6
  26. 8
  27. 18
  28. 76/23
  29. 36
  30. 23/30
  31. 10
  32. 2
  33. 20/9
  34. 48
  35. 14
  36. 8/63
  37. 12/7
  38. 36
  39. 4
  40. 15

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