Class 8 Time and Work — practice questions with answers
Direct and Inverse Proportions · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
1. A can do a piece of work in 10 days and B in 15 days. How long will they take working together?
- A6 days
- B12 1/2 days
- C25 days
- D5 days
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Answer: A) 6 days
101+151=303+302=61, so 6 days.
2. Leena can type a thesis in 20 hours. Pinky types 25% faster. How long does Pinky take?
- A15 hours
- B25 hours
- C16 hours
- D18 hours
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Answer: C) 16 hours
25% faster means rate ×45, so time ×54: 20×54=16 h. 15 h is 25% less TIME.
3. Two workers each finish a job in 14 days alone. How long do they take together?
- A28 days
- B14 days
- C3 1/2 days
- D7 days
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Answer: D) 7 days
Twice the workforce, half the time: 7 days.
4. Rita can complete 60% of a job in 12 days. How long does she need for the whole job?
- A7 1/5 days
- B18 days
- C20 days
- D15 days
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Answer: C) 20 days
60% in 12 days means 100% in 12÷0.6=20 days.
5. A can finish a job in 6 days, B in 8 days. They start together; after 2 days A leaves. How many more days does B need?
- A4 days
- B3 days
- C2 2/3 days
- D3 1/3 days
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Answer: D) 3 1/3 days
2 days together: 2(61+81)=2×247=127. Left 125 at 81 a day: 125×8=310=331 days.