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Time and Work Worksheet

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

Answer key

  1. 7/4
  2. 15
  3. 12
  4. 12
  5. 36/77
  6. 90
  7. 6
  8. 6
  9. 16
  10. 12
  11. 4/15
  12. 48/7
  13. 60/11
  14. 33/130
  15. 266/33
  16. 20/7
  17. 4/15
  18. 27
  19. 2
  20. 12
  21. 51/20
  22. 36
  23. 30
  24. 6
  25. 165/26
  26. 10
  27. 8
  28. 60/13
  29. 29/105
  30. 29/210
  31. 12
  32. 9/5
  33. 18
  34. 21
  35. 6
  36. 39/190
  37. 30
  38. 33
  39. 9
  40. 130/23

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