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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 128 · 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.Priya can finish a job in 13 days and Nisha in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  2. 2.Manav works twice as fast as Priya. Together they finish a job in 5 days. How many days would Priya take alone?
  3. 3.Kabir can finish a job in 15 days and Rohan in 12 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  4. 4.Tara can finish a job in 4 days and Vivaan in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Ananya works twice as fast as Kavya. Together they finish a job in 9 days. How many days would Kavya take alone?
  6. 6.Arjun and Tara together finish a job in 15 days. Arjun alone takes 30 days. How many days would Tara take alone?
  7. 7.Isha and Karan together finish a job in 2 days. Isha alone takes 3 days. How many days would Karan take alone?
  8. 8.Isha and Tara together finish a job in 8 days. Isha alone takes 12 days. How many days would Tara take alone?
  9. 9.Farhan can finish a job in 20 days and Isha in 8 days. What fraction of the job do they finish if they work together for 1 day? =
  10. 10.Karan can finish a job in 17 days and Farhan in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  11. 11.Manav and Aarav together finish a job in 6 days. Manav alone takes 7 days. How many days would Aarav take alone?
  12. 12.Aarav can finish a job in 5 days and Nisha in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  13. 13.Kabir works twice as fast as Aditya. Together they finish a job in 4 days. How many days would Aditya take alone?
  14. 14.Aarav works three times as fast as Vivaan. Together they finish a job in 3 days. How many days would Vivaan take alone?
  15. 15.Priya can finish a job in 8 days and Nisha in 26 days. Priya works alone for 4 days and then stops. Nisha finishes the rest. How many days does Nisha take?
  16. 16.Kabir and Dev together finish a job in 2 days. Kabir alone takes 3 days. How many days would Dev take alone?
  17. 17.Ananya can finish a job in 5 days and Priya in 6 days. What fraction of the job do they finish if they work together for 2 days? =
  18. 18.Meera and Karan together finish a job in 2 days. Meera alone takes 3 days. How many days would Karan take alone?
  19. 19.Priya works twice as fast as Diya. Together they finish a job in 9 days. How many days would Diya take alone?
  20. 20.Saanvi and Arjun together finish a job in 12 days. Saanvi alone takes 21 days. How many days would Arjun take alone?
  21. 21.Nisha and Aditya together finish a job in 2 days. Nisha alone takes 6 days. How many days would Aditya take alone?
  22. 22.Tara can finish a job in 13 days and Ananya in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Arjun and Ishaan together finish a job in 8 days. Arjun alone takes 10 days. How many days would Ishaan take alone?
  24. 24.Tara works three times as fast as Ishaan. Together they finish a job in 3 days. How many days would Ishaan take alone?
  25. 25.Dev can finish a job in 6 days and Diya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  26. 26.Manav can finish a job in 30 days and Farhan in 15 days. Manav works alone for 16 days and then stops. Farhan finishes the rest. How many days does Farhan take?
  27. 27.Vivaan and Dev together finish a job in 2 days. Vivaan alone takes 3 days. How many days would Dev take alone?
  28. 28.Zoya works twice as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
  29. 29.Kavya can finish a job in 20 days and Ishaan in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  30. 30.Diya can finish a job in 2 days and Ishaan in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  31. 31.Karan 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. =
  32. 32.Tara and Ishaan together finish a job in 4 days. Tara alone takes 8 days. How many days would Ishaan take alone?
  33. 33.Sneha works three times as fast as Ananya. Together they finish a job in 6 days. How many days would Ananya take alone?
  34. 34.Aditya and Aarav together finish a job in 4 days. Aditya alone takes 5 days. How many days would Aarav take alone?
  35. 35.Kavya can finish a job in 2 days and Farhan in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  36. 36.Priya works three times as fast as Kabir. Together they finish a job in 12 days. How many days would Kabir take alone?
  37. 37.Isha can finish a job in 9 days and Nisha in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  38. 38.Arjun can finish a job in 6 days and Zoya in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  39. 39.Priya can finish a job in 6 days and Manav in 18 days. Priya works alone for 4 days and then stops. Manav finishes the rest. How many days does Manav take?
  40. 40.Zoya can finish a job in 9 days and Meera in 24 days. Zoya works alone for 6 days and then stops. Meera finishes the rest. How many days does Meera take?

Answer key

  1. 19/39
  2. 15
  3. 20/3
  4. 4/3
  5. 27
  6. 30
  7. 6
  8. 24
  9. 7/40
  10. 31/238
  11. 42
  12. 10/7
  13. 12
  14. 12
  15. 13
  16. 6
  17. 11/15
  18. 6
  19. 27
  20. 28
  21. 3
  22. 143/24
  23. 40
  24. 12
  25. 15/4
  26. 7
  27. 6
  28. 12
  29. 180/19
  30. 30/17
  31. 76/23
  32. 8
  33. 24
  34. 20
  35. 8/5
  36. 48
  37. 180/29
  38. 21/5
  39. 6
  40. 8

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