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Time and Work Worksheet

Quantitative aptitude lesson 19: Time and work · Set 171 · 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.Arjun can finish a job in 17 days and Ananya in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  2. 2.Kabir works twice as fast as Dev. Together they finish a job in 2 days. How many days would Dev take alone?
  3. 3.Sneha can finish a job in 10 days and Nisha in 14 days. What fraction of the job do they finish if they work together for 1 day? =
  4. 4.Rahul can finish a job in 10 days and Pooja in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  5. 5.Tara works twice as fast as Manav. Together they finish a job in 3 days. How many days would Manav take alone?
  6. 6.Zoya can finish a job in 3 days and Arjun in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  7. 7.Aarav works twice as fast as Rohan. Together they finish a job in 7 days. How many days would Rohan take alone?
  8. 8.Diya can finish a job in 14 days and Kabir in 20 days. What fraction of the job do they finish if they work together for 3 days? =
  9. 9.Aditya can finish a job in 2 days and Pooja in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  10. 10.Sneha works twice as fast as Isha. Together they finish a job in 10 days. How many days would Isha take alone?
  11. 11.Tara can finish a job in 4 days and Pooja in 12 days. Tara works alone for 2 days and then stops. Pooja finishes the rest. How many days does Pooja take?
  12. 12.Kavya can finish a job in 8 days and Diya in 28 days. Kavya works alone for 4 days and then stops. Diya finishes the rest. How many days does Diya take?
  13. 13.Karan and Kavya together finish a job in 2 days. Karan alone takes 4 days. How many days would Kavya take alone?
  14. 14.Tara can finish a job in 16 days and Sneha in 8 days. Tara works alone for 8 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  15. 15.Kavya can finish a job in 4 days and Sneha in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  16. 16.Diya can finish a job in 17 days and Meera in 7 days. What fraction of the job do they finish if they work together for 3 days? =
  17. 17.Rahul works three times as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
  18. 18.Kabir can finish a job in 8 days and Pooja in 15 days. What fraction of the job do they finish if they work together for 2 days? =
  19. 19.Manav and Kabir together finish a job in 3 days. Manav alone takes 6 days. How many days would Kabir take alone?
  20. 20.Ananya works three times as fast as Saanvi. Together they finish a job in 4 days. How many days would Saanvi take alone?
  21. 21.Dev can finish a job in 5 days and Diya in 20 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  22. 22.Farhan can finish a job in 4 days and Aarav in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  23. 23.Zoya can finish a job in 9 days and Kavya in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  24. 24.Dev can finish a job in 3 days and Isha in 14 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  25. 25.Diya works three times as fast as Karan. Together they finish a job in 5 days. How many days would Karan take alone?
  26. 26.Aditya can finish a job in 20 days and Ishaan in 24 days. Aditya works alone for 10 days and then stops. Ishaan finishes the rest. How many days does Ishaan take?
  27. 27.Arjun can finish a job in 17 days and Priya in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  28. 28.Ananya can finish a job in 2 days and Manav in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  29. 29.Tara works twice as fast as Saanvi. Together they finish a job in 5 days. How many days would Saanvi take alone?
  30. 30.Kabir can finish a job in 4 days and Meera in 18 days. Kabir works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
  31. 31.Dev can finish a job in 4 days and Zoya in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
  32. 32.Rahul can finish a job in 20 days and Tara in 26 days. Rahul works alone for 10 days and then stops. Tara finishes the rest. How many days does Tara take?
  33. 33.Diya and Priya together finish a job in 8 days. Diya alone takes 10 days. How many days would Priya take alone?
  34. 34.Arjun can finish a job in 28 days and Priya in 20 days. Arjun works alone for 14 days and then stops. Priya finishes the rest. How many days does Priya take?
  35. 35.Aditya works three times as fast as Ananya. Together they finish a job in 3 days. How many days would Ananya take alone?
  36. 36.Manav can finish a job in 28 days and Sneha in 14 days. Manav works alone for 18 days and then stops. Sneha finishes the rest. How many days does Sneha take?
  37. 37.Farhan can finish a job in 20 days and Aditya in 5 days. What fraction of the job do they finish if they work together for 2 days? =
  38. 38.Manav can finish a job in 20 days and Dev in 11 days. What fraction of the job do they finish if they work together for 1 day? =
  39. 39.Kabir can finish a job in 6 days and Diya in 20 days. What fraction of the job do they finish if they work together for 1 day? =
  40. 40.Ananya can finish a job in 19 days and Rahul in 17 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =

Answer key

  1. 34/19
  2. 6
  3. 6/35
  4. 90/19
  5. 9
  6. 42/17
  7. 21
  8. 51/140
  9. 4/3
  10. 30
  11. 6
  12. 14
  13. 4
  14. 4
  15. 68/21
  16. 72/119
  17. 32
  18. 23/60
  19. 6
  20. 16
  21. 4
  22. 12/5
  23. 90/19
  24. 42/17
  25. 20
  26. 12
  27. 136/25
  28. 8/5
  29. 15
  30. 9
  31. 36/11
  32. 13
  33. 40
  34. 10
  35. 12
  36. 5
  37. 1/2
  38. 31/220
  39. 13/60
  40. 323/36

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