Class 8 Workers, Days and Hours — 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. 12 workers can build a wall in 10 days. How many days will 15 workers take, working at the same rate?
- A12 1/2 days
- B8 days
- C13 days
- D7 days
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Answer: B) 8 days
Work = 12×10=120 worker-days. 120÷15=8 days. More workers, fewer days.
2. A camp has food for 80 people for 30 days. After 10 days, 30 people leave. How long will the rest of the food last the remaining people?
- A20 days
- B12 days
- C32 days
- D25 days
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Answer: C) 32 days
Left: 80×20=1600 person-days for 50 people: 1600÷50=32 days.
3. If 3 cows graze a field in 12 days, in how many days will 9 cows graze the same field?
- A36 days
- B6 days
- C4 days
- D3 days
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Answer: C) 4 days
3×12=36 cow-days; 36÷9=4 days.
4. A carpenter takes 6 hours to make 2 chairs. How many chairs can 5 carpenters make in 12 hours?
- A10 chairs
- B20 chairs
- C12 chairs
- D30 chairs
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Answer: B) 20 chairs
One carpenter: 31 chair per hour. 5×12×31=20.
5. If 9 printers print 900 posters in 5 hours, how long would 6 printers take for 1,200 posters?
- A10 hours
- B5 hours
- C7 1/2 hours
- D8 hours
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Answer: A) 10 hours
One printer: 900÷45=20 posters an hour. 6 printers: 120 an hour. 1200÷120=10 hours.