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.Kabir can finish a job in 17 days and Rahul in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 2.Kavya can finish a job in 16 days and Isha in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 3.Manav can finish a job in 9 days and Diya in 18 days. What fraction of the job do they finish if they work together for 3 days? =
- 4.Diya works twice as fast as Manav. Together they finish a job in 4 days. How many days would Manav take alone?
- 5.Aditya and Dev together finish a job in 9 days. Aditya alone takes 18 days. How many days would Dev take alone?
- 6.Aarav can finish a job in 5 days and Rohan in 15 days. Aarav works alone for 3 days and then stops. Rohan finishes the rest. How many days does Rohan take?
- 7.Ishaan can finish a job in 18 days and Rohan in 19 days. What fraction of the job do they finish if they work together for 2 days? =
- 8.Kabir can finish a job in 5 days and Zoya in 13 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 9.Aditya can finish a job in 21 days and Isha in 28 days. Aditya works alone for 9 days and then stops. Isha finishes the rest. How many days does Isha take?
- 10.Aditya works twice as fast as Kavya. Together they finish a job in 9 days. How many days would Kavya take alone?
- 11.Aditya and Diya together finish a job in 2 days. Aditya alone takes 3 days. How many days would Diya take alone?
- 12.Isha can finish a job in 18 days and Saanvi in 10 days. What fraction of the job do they finish if they work together for 1 day? =
- 13.Aditya can finish a job in 19 days and Vivaan in 6 days. What fraction of the job do they finish if they work together for 3 days? =
- 14.Tara can finish a job in 19 days and Isha in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 15.Aditya can finish a job in 6 days and Aarav in 7 days. What fraction of the job do they finish if they work together for 3 days? =
- 16.Diya works three times as fast as Zoya. Together they finish a job in 3 days. How many days would Zoya take alone?
- 17.Nisha can finish a job in 14 days and Ishaan in 10 days. What fraction of the job do they finish if they work together for 1 day? =
- 18.Karan can finish a job in 18 days and Meera in 3 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 19.Aditya can finish a job in 5 days and Diya in 17 days. What fraction of the job do they finish if they work together for 1 day? =
- 20.Dev can finish a job in 6 days and Ananya in 21 days. Dev works alone for 2 days and then stops. Ananya finishes the rest. How many days does Ananya take?
- 21.Isha can finish a job in 10 days and Saanvi in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 22.Karan works twice as fast as Meera. Together they finish a job in 4 days. How many days would Meera take alone?
- 23.Kavya can finish a job in 19 days and Vivaan in 16 days. What fraction of the job do they finish if they work together for 3 days? =
- 24.Zoya works three times as fast as Diya. Together they finish a job in 2 days. How many days would Diya take alone?
- 25.Farhan and Diya together finish a job in 6 days. Farhan alone takes 8 days. How many days would Diya take alone?
- 26.Arjun can finish a job in 11 days and Dev in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 27.Dev and Pooja together finish a job in 6 days. Dev alone takes 10 days. How many days would Pooja take alone?
- 28.Arjun can finish a job in 16 days and Nisha in 19 days. What fraction of the job do they finish if they work together for 3 days? =
- 29.Rohan can finish a job in 3 days and Saanvi in 2 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 30.Ishaan can finish a job in 6 days and Vivaan in 11 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 31.Nisha can finish a job in 8 days and Dev in 20 days. What fraction of the job do they finish if they work together for 1 day? =
- 32.Tara can finish a job in 13 days and Aditya in 6 days. What fraction of the job do they finish if they work together for 1 day? =
- 33.Nisha can finish a job in 16 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. =
- 34.Dev works three times as fast as Kabir. Together they finish a job in 3 days. How many days would Kabir take alone?
- 35.Meera can finish a job in 4 days and Zoya in 8 days. Meera works alone for 1 day and then stops. Zoya finishes the rest. How many days does Zoya take?
- 36.Nisha can finish a job in 6 days and Priya in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 37.Nisha can finish a job in 12 days and Karan in 20 days. Nisha works alone for 6 days and then stops. Karan finishes the rest. How many days does Karan take?
- 38.Aditya and Dev together finish a job in 7 days. Aditya alone takes 8 days. How many days would Dev take alone?
- 39.Dev can finish a job in 20 days and Rohan in 10 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 40.Priya can finish a job in 9 days and Saanvi in 17 days. What fraction of the job do they finish if they work together for 2 days? =
Answer key
- 68/21
- 48/11
- 1/2
- 12
- 18
- 6
- 37/171
- 65/18
- 16
- 27
- 6
- 7/45
- 25/38
- 171/28
- 13/14
- 12
- 6/35
- 18/7
- 22/85
- 14
- 15/4
- 12
- 105/304
- 8
- 24
- 77/18
- 15
- 105/304
- 6/5
- 66/17
- 7/40
- 19/78
- 80/13
- 12
- 6
- 12/5
- 10
- 56
- 20/3
- 52/153
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