Time and Work Worksheet
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.Arjun works twice as fast as Rohan. Together they finish a job in 5 days. How many days would Rohan take alone?
- 2.Dev can finish a job in 18 days and Priya in 13 days. What fraction of the job do they finish if they work together for 3 days? =
- 3.Nisha can finish a job in 19 days and Diya in 12 days. What fraction of the job do they finish if they work together for 1 day? =
- 4.Vivaan can finish a job in 10 days and Sneha in 8 days. What fraction of the job do they finish if they work together for 2 days? =
- 5.Meera and Aditya together finish a job in 9 days. Meera alone takes 12 days. How many days would Aditya take alone?
- 6.Priya and Aarav together finish a job in 8 days. Priya alone takes 12 days. How many days would Aarav take alone?
- 7.Pooja works twice as fast as Farhan. Together they finish a job in 10 days. How many days would Farhan take alone?
- 8.Manav works twice as fast as Ananya. Together they finish a job in 12 days. How many days would Ananya take alone?
- 9.Aditya and Arjun together finish a job in 2 days. Aditya alone takes 3 days. How many days would Arjun take alone?
- 10.Farhan can finish a job in 17 days and Dev in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 11.Meera can finish a job in 4 days and Ananya in 7 days. What fraction of the job do they finish if they work together for 2 days? =
- 12.Kabir and Zoya together finish a job in 7 days. Kabir alone takes 14 days. How many days would Zoya take alone?
- 13.Pooja can finish a job in 8 days and Diya in 7 days. What fraction of the job do they finish if they work together for 2 days? =
- 14.Farhan can finish a job in 11 days and Sneha in 20 days. What fraction of the job do they finish if they work together for 2 days? =
- 15.Priya works three times as fast as Meera. Together they finish a job in 9 days. How many days would Meera take alone?
- 16.Nisha works three times as fast as Rahul. Together they finish a job in 7 days. How many days would Rahul take alone?
- 17.Priya can finish a job in 12 days and Pooja in 10 days. What fraction of the job do they finish if they work together for 1 day? =
- 18.Meera can finish a job in 17 days and Diya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 19.Meera can finish a job in 20 days and Ishaan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 20.Diya works three times as fast as Vivaan. Together they finish a job in 12 days. How many days would Vivaan take alone?
- 21.Tara can finish a job in 8 days and Priya in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 22.Ananya can finish a job in 16 days and Rahul in 18 days. What fraction of the job do they finish if they work together for 1 day? =
- 23.Ishaan works twice as fast as Arjun. Together they finish a job in 12 days. How many days would Arjun take alone?
- 24.Aditya can finish a job in 7 days and Rohan in 16 days. What fraction of the job do they finish if they work together for 1 day? =
- 25.Vivaan can finish a job in 8 days and Isha in 16 days. What fraction of the job do they finish if they work together for 3 days? =
- 26.Saanvi can finish a job in 7 days and Sneha in 21 days. Saanvi works alone for 4 days and then stops. Sneha finishes the rest. How many days does Sneha take?
- 27.Nisha and Rohan together finish a job in 2 days. Nisha alone takes 3 days. How many days would Rohan take alone?
- 28.Aditya can finish a job in 4 days and Priya in 15 days. What fraction of the job do they finish if they work together for 1 day? =
- 29.Arjun works twice as fast as Saanvi. Together they finish a job in 10 days. How many days would Saanvi take alone?
- 30.Saanvi and Karan together finish a job in 16 days. Saanvi alone takes 20 days. How many days would Karan take alone?
- 31.Dev can finish a job in 20 days and Saanvi in 19 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 32.Sneha works three times as fast as Kabir. Together they finish a job in 10 days. How many days would Kabir take alone?
- 33.Diya can finish a job in 15 days and Sneha in 27 days. Diya works alone for 5 days and then stops. Sneha finishes the rest. How many days does Sneha take?
- 34.Karan can finish a job in 17 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. =
- 35.Tara and Arjun together finish a job in 3 days. Tara alone takes 12 days. How many days would Arjun take alone?
- 36.Farhan can finish a job in 4 days and Isha in 10 days. What fraction of the job do they finish if they work together for 2 days? =
- 37.Rahul can finish a job in 7 days and Dev in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 38.Ananya can finish a job in 4 days and Nisha in 8 days. Ananya works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
- 39.Aditya can finish a job in 11 days and Vivaan in 22 days. Aditya works alone for 4 days and then stops. Vivaan finishes the rest. How many days does Vivaan take?
- 40.Arjun can finish a job in 12 days and Rohan in 6 days. Arjun works alone for 10 days and then stops. Rohan finishes the rest. How many days does Rohan take?
Answer key
- 15
- 31/78
- 31/228
- 9/20
- 36
- 24
- 30
- 36
- 6
- 85/22
- 11/14
- 14
- 15/28
- 31/110
- 36
- 28
- 11/60
- 85/22
- 10/3
- 48
- 24/7
- 17/144
- 36
- 23/112
- 9/16
- 9
- 6
- 19/60
- 30
- 80
- 380/39
- 40
- 18
- 170/27
- 4
- 7/10
- 77/18
- 2
- 14
- 1
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