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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 68 · 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.Pooja works three times as fast as Aditya. Together they finish a job in 12 days. How many days would Aditya take alone?
  2. 2.Manav can finish a job in 8 days and Saanvi in 10 days. What fraction of the job do they finish if they work together for 1 day? =
  3. 3.Manav can finish a job in 15 days and Meera in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Aarav and Tara together finish a job in 2 days. Aarav alone takes 6 days. How many days would Tara take alone?
  5. 5.Aarav works twice as fast as Farhan. Together they finish a job in 4 days. How many days would Farhan take alone?
  6. 6.Meera works three times as fast as Ananya. Together they finish a job in 6 days. How many days would Ananya take alone?
  7. 7.Arjun works twice as fast as Karan. Together they finish a job in 2 days. How many days would Karan take alone?
  8. 8.Meera works twice as fast as Isha. Together they finish a job in 5 days. How many days would Isha take alone?
  9. 9.Kabir works twice as fast as Zoya. Together they finish a job in 7 days. How many days would Zoya take alone?
  10. 10.Ananya and Ishaan together finish a job in 2 days. Ananya alone takes 3 days. How many days would Ishaan take alone?
  11. 11.Kavya works three times as fast as Manav. Together they finish a job in 10 days. How many days would Manav take alone?
  12. 12.Kabir can finish a job in 19 days and Vivaan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Zoya can finish a job in 19 days and Dev in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  14. 14.Priya can finish a job in 17 days and Pooja in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  15. 15.Karan works three times as fast as Arjun. Together they finish a job in 5 days. How many days would Arjun take alone?
  16. 16.Diya can finish a job in 6 days and Sneha in 30 days. Diya works alone for 3 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  17. 17.Sneha and Dev together finish a job in 4 days. Sneha alone takes 8 days. How many days would Dev take alone?
  18. 18.Arjun can finish a job in 14 days and Aarav in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  19. 19.Sneha can finish a job in 15 days and Ishaan in 16 days. What fraction of the job do they finish if they work together for 1 day? =
  20. 20.Vivaan and Priya together finish a job in 9 days. Vivaan alone takes 18 days. How many days would Priya take alone?
  21. 21.Isha and Manav together finish a job in 10 days. Isha alone takes 14 days. How many days would Manav take alone?
  22. 22.Isha can finish a job in 6 days and Manav in 7 days. What fraction of the job do they finish if they work together for 1 day? =
  23. 23.Pooja and Aarav together finish a job in 3 days. Pooja alone takes 4 days. How many days would Aarav take alone?
  24. 24.Diya can finish a job in 12 days and Rohan in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Ishaan can finish a job in 8 days and Vivaan in 28 days. Ishaan works alone for 6 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
  26. 26.Zoya can finish a job in 18 days and Vivaan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  27. 27.Meera and Ananya together finish a job in 10 days. Meera alone takes 15 days. How many days would Ananya take alone?
  28. 28.Aarav can finish a job in 19 days and Zoya in 4 days. What fraction of the job do they finish if they work together for 2 days? =
  29. 29.Nisha and Arjun together finish a job in 2 days. Nisha alone takes 3 days. How many days would Arjun take alone?
  30. 30.Rahul can finish a job in 20 days and Diya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Manav can finish a job in 9 days and Nisha in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Meera can finish a job in 21 days and Rohan in 15 days. Meera works alone for 14 days and then stops. Rohan finishes the rest. How many days does Rohan take?
  33. 33.Isha can finish a job in 6 days and Kabir in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  34. 34.Karan works three times as fast as Kavya. Together they finish a job in 10 days. How many days would Kavya take alone?
  35. 35.Dev can finish a job in 12 days and Vivaan in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  36. 36.Pooja can finish a job in 4 days and Diya in 14 days. Pooja works alone for 2 days and then stops. Diya finishes the rest. How many days does Diya take?
  37. 37.Arjun can finish a job in 4 days and Dev in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  38. 38.Rohan and Aarav together finish a job in 4 days. Rohan alone takes 5 days. How many days would Aarav take alone?
  39. 39.Aditya can finish a job in 7 days and Nisha in 18 days. What fraction of the job do they finish if they work together for 1 day? =
  40. 40.Aarav can finish a job in 16 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. =

Answer key

  1. 48
  2. 9/40
  3. 120/23
  4. 3
  5. 12
  6. 24
  7. 6
  8. 15
  9. 21
  10. 6
  11. 40
  12. 342/37
  13. 228/31
  14. 119/24
  15. 20
  16. 15
  17. 8
  18. 35/6
  19. 31/240
  20. 18
  21. 35
  22. 13/42
  23. 12
  24. 36/7
  25. 7
  26. 45/7
  27. 30
  28. 23/38
  29. 6
  30. 140/27
  31. 36/13
  32. 5
  33. 15/4
  34. 40
  35. 17/30
  36. 7
  37. 9/10
  38. 20
  39. 25/126
  40. 48/19

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