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 three times as fast as Meera. Together they finish a job in 8 days. How many days would Meera take alone?
- 2.Aarav works twice as fast as Diya. Together they finish a job in 11 days. How many days would Diya take alone?
- 3.Zoya can finish a job in 4 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. =
- 4.Ananya can finish a job in 8 days and Kavya in 16 days. Ananya works alone for 7 days and then stops. Kavya finishes the rest. How many days does Kavya take?
- 5.Arjun works twice as fast as Zoya. Together they finish a job in 9 days. How many days would Zoya take alone?
- 6.Rohan can finish a job in 6 days and Kavya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 7.Meera works twice as fast as Karan. Together they finish a job in 4 days. How many days would Karan take alone?
- 8.Pooja can finish a job in 5 days and Farhan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 9.Dev works three times as fast as Zoya. Together they finish a job in 6 days. How many days would Zoya take alone?
- 10.Meera works three times as fast as Aarav. Together they finish a job in 8 days. How many days would Aarav take alone?
- 11.Rahul and Karan together finish a job in 6 days. Rahul alone takes 10 days. How many days would Karan take alone?
- 12.Kavya and Meera together finish a job in 4 days. Kavya alone takes 5 days. How many days would Meera take alone?
- 13.Aditya can finish a job in 3 days and Rohan in 4 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 14.Saanvi and Ishaan together finish a job in 8 days. Saanvi alone takes 9 days. How many days would Ishaan take alone?
- 15.Sneha can finish a job in 21 days and Dev in 14 days. Sneha works alone for 6 days and then stops. Dev finishes the rest. How many days does Dev take?
- 16.Aarav can finish a job in 12 days and Arjun in 4 days. Aarav works alone for 9 days and then stops. Arjun finishes the rest. How many days does Arjun take?
- 17.Kabir and Zoya together finish a job in 2 days. Kabir alone takes 3 days. How many days would Zoya take alone?
- 18.Ananya can finish a job in 14 days and Isha in 8 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 19.Nisha can finish a job in 7 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. =
- 20.Aditya can finish a job in 10 days and Isha in 4 days. What fraction of the job do they finish if they work together for 2 days? =
- 21.Vivaan can finish a job in 13 days and Tara in 12 days. What fraction of the job do they finish if they work together for 2 days? =
- 22.Diya and Aditya together finish a job in 15 days. Diya alone takes 20 days. How many days would Aditya take alone?
- 23.Farhan can finish a job in 11 days and Zoya in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 24.Aarav can finish a job in 12 days and Zoya in 6 days. Aarav works alone for 4 days and then stops. Zoya finishes the rest. How many days does Zoya take?
- 25.Rohan works twice as fast as Priya. Together they finish a job in 8 days. How many days would Priya take alone?
- 26.Pooja can finish a job in 6 days and Nisha in 22 days. Pooja works alone for 3 days and then stops. Nisha finishes the rest. How many days does Nisha take?
- 27.Pooja works twice as fast as Diya. Together they finish a job in 2 days. How many days would Diya take alone?
- 28.Nisha can finish a job in 28 days and Aditya in 30 days. Nisha works alone for 14 days and then stops. Aditya finishes the rest. How many days does Aditya take?
- 29.Kavya can finish a job in 15 days and Zoya in 8 days. What fraction of the job do they finish if they work together for 3 days? =
- 30.Aditya can finish a job in 11 days and Arjun in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 31.Kabir can finish a job in 10 days and Nisha in 25 days. Kabir works alone for 2 days and then stops. Nisha finishes the rest. How many days does Nisha take?
- 32.Kavya can finish a job in 17 days and Saanvi in 5 days. What fraction of the job do they finish if they work together for 1 day? =
- 33.Farhan can finish a job in 18 days and Kavya in 8 days. What fraction of the job do they finish if they work together for 3 days? =
- 34.Aarav can finish a job in 10 days and Kabir in 15 days. What fraction of the job do they finish if they work together for 1 day? =
- 35.Nisha can finish a job in 14 days and Farhan in 6 days. What fraction of the job do they finish if they work together for 2 days? =
- 36.Arjun works twice as fast as Sneha. Together they finish a job in 4 days. How many days would Sneha take alone?
- 37.Arjun can finish a job in 19 days and Nisha in 16 days. What fraction of the job do they finish if they work together for 3 days? =
- 38.Vivaan can finish a job in 6 days and Meera in 21 days. Vivaan works alone for 4 days and then stops. Meera finishes the rest. How many days does Meera take?
- 39.Priya can finish a job in 9 days and Meera in 15 days. What fraction of the job do they finish if they work together for 1 day? =
- 40.Ishaan and Ananya together finish a job in 8 days. Ishaan alone takes 12 days. How many days would Ananya take alone?
Answer key
- 32
- 33
- 12/5
- 2
- 27
- 30/11
- 12
- 20/9
- 24
- 32
- 15
- 20
- 12/7
- 72
- 10
- 1
- 6
- 56/11
- 28/11
- 7/10
- 25/78
- 60
- 55/16
- 4
- 24
- 11
- 6
- 15
- 23/40
- 77/18
- 20
- 22/85
- 13/24
- 1/6
- 10/21
- 12
- 105/304
- 7
- 8/45
- 24
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