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 and Diya together finish a job in 6 days. Arjun alone takes 10 days. How many days would Diya take alone?
- 2.Manav can finish a job in 5 days and Zoya in 20 days. Manav works alone for 3 days and then stops. Zoya finishes the rest. How many days does Zoya take?
- 3.Aarav can finish a job in 15 days and Priya in 9 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 4.Tara can finish a job in 14 days and Diya in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 5.Zoya works twice as fast as Ananya. Together they finish a job in 5 days. How many days would Ananya take alone?
- 6.Priya can finish a job in 7 days and Rahul in 6 days. What fraction of the job do they finish if they work together for 2 days? =
- 7.Nisha works twice as fast as Ishaan. Together they finish a job in 2 days. How many days would Ishaan take alone?
- 8.Farhan can finish a job in 8 days and Meera in 12 days. Farhan works alone for 2 days and then stops. Meera finishes the rest. How many days does Meera take?
- 9.Priya works twice as fast as Rahul. Together they finish a job in 2 days. How many days would Rahul take alone?
- 10.Meera works three times as fast as Aarav. Together they finish a job in 9 days. How many days would Aarav take alone?
- 11.Arjun can finish a job in 7 days and Sneha in 14 days. Arjun works alone for 4 days and then stops. Sneha finishes the rest. How many days does Sneha take?
- 12.Meera can finish a job in 6 days and Manav in 14 days. What fraction of the job do they finish if they work together for 3 days? =
- 13.Isha can finish a job in 5 days and Kavya in 10 days. Isha works alone for 3 days and then stops. Kavya finishes the rest. How many days does Kavya take?
- 14.Kavya and Dev together finish a job in 16 days. Kavya alone takes 20 days. How many days would Dev take alone?
- 15.Kabir can finish a job in 19 days and Diya in 5 days. What fraction of the job do they finish if they work together for 2 days? =
- 16.Saanvi and Diya together finish a job in 4 days. Saanvi alone takes 5 days. How many days would Diya take alone?
- 17.Diya can finish a job in 5 days and Meera in 14 days. What fraction of the job do they finish if they work together for 2 days? =
- 18.Tara can finish a job in 14 days and Zoya in 28 days. Tara works alone for 8 days and then stops. Zoya finishes the rest. How many days does Zoya take?
- 19.Aditya works twice as fast as Dev. Together they finish a job in 5 days. How many days would Dev take alone?
- 20.Diya and Rahul together finish a job in 9 days. Diya alone takes 10 days. How many days would Rahul take alone?
- 21.Diya can finish a job in 5 days and Rohan in 16 days. What fraction of the job do they finish if they work together for 2 days? =
- 22.Meera can finish a job in 3 days and Kabir in 18 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 23.Dev can finish a job in 7 days and Rahul in 5 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 24.Dev can finish a job in 28 days and Kabir in 8 days. Dev works alone for 21 days and then stops. Kabir finishes the rest. How many days does Kabir take?
- 25.Manav can finish a job in 19 days and Vivaan in 6 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 26.Karan and Arjun together finish a job in 12 days. Karan alone takes 14 days. How many days would Arjun take alone?
- 27.Saanvi works three times as fast as Manav. Together they finish a job in 5 days. How many days would Manav take alone?
- 28.Ishaan can finish a job in 10 days and Ananya in 20 days. Ishaan works alone for 3 days and then stops. Ananya finishes the rest. How many days does Ananya take?
- 29.Aditya can finish a job in 19 days and Diya in 4 days. What fraction of the job do they finish if they work together for 3 days? =
- 30.Arjun can finish a job in 6 days and Aarav in 12 days. Arjun works alone for 4 days and then stops. Aarav finishes the rest. How many days does Aarav take?
- 31.Priya can finish a job in 10 days and Kabir in 13 days. What fraction of the job do they finish if they work together for 3 days? =
- 32.Aarav and Aditya together finish a job in 2 days. Aarav alone takes 4 days. How many days would Aditya take alone?
- 33.Ananya can finish a job in 16 days and Manav in 15 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 34.Meera can finish a job in 12 days and Sneha in 7 days. How many days will they take working together? Give a fraction if the answer is not a whole number. =
- 35.Vivaan can finish a job in 20 days and Aarav in 8 days. Vivaan works alone for 10 days and then stops. Aarav finishes the rest. How many days does Aarav take?
- 36.Tara works three times as fast as Karan. Together they finish a job in 6 days. How many days would Karan take alone?
- 37.Manav can finish a job in 20 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. =
- 38.Vivaan and Nisha together finish a job in 4 days. Vivaan alone takes 6 days. How many days would Nisha take alone?
- 39.Rahul works twice as fast as Ananya. Together they finish a job in 8 days. How many days would Ananya take alone?
- 40.Rohan works three times as fast as Aditya. Together they finish a job in 10 days. How many days would Aditya take alone?
Answer key
- 15
- 8
- 45/8
- 14/3
- 15
- 13/21
- 6
- 9
- 6
- 36
- 6
- 5/7
- 4
- 80
- 48/95
- 20
- 19/35
- 12
- 15
- 90
- 21/40
- 18/7
- 35/12
- 2
- 114/25
- 84
- 20
- 14
- 69/76
- 4
- 69/130
- 4
- 240/31
- 84/19
- 4
- 24
- 4
- 12
- 24
- 40
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