BitWithBite
Mathematics Worksheet
🛠️ Time & Work
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After this worksheet you can
Express work as a daily rate (1/time).Add rates for combined work.Find work done in a given number of days.Combine three or more workers.📚 Quick Recap
Time and work problems figure out how long a task takes when different people or machines work at different rates, alone or together.
🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1A: 20 days, B: 30 days → together:
2A: 6 days, B: 3 days → together:
3A's rate is 1/9 per day; in 4 days the work done is:
4If A finishes in n days, A's one-day work is:
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5If A finishes in n days, A's one-day work is .
6A (20 d) and B (30 d) together take days.
7A finishes a job in 20 days, B in 30 days. Find combined time.
8A finishes a job in 6 days, B in 3 days. Find combined time.
9A's rate is 1/9 per day. How much work is done in 4 days?
🚀 Section C · Challenge ● CHALLENGE 5
10A: 15 days, B: 10 days, C: 30 days. Find the combined time for all three.
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
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✂ answer key — fold or cut before handing out
1-A 2-A 3-A 4-B | 5 1/n 6 12 7 = 12 days 8 = 2 days 9 = 4/9 of the job | 10 = 5 days