Time & Work Set 8 : How many Days required ?
Q. If 100 cats kill 100 mice in 100 days, then how many days will 4 cats take to kill 4 mice ?
B. 4 days B. 6 days C. 40 days D. 100 days
Solution
Given: 100 cats → 100 mice → 100 days
Since the number of cats and mice are reduced in the same proportion:
100 : 4 = 100 : 4
The number of cats per mouse remains the same.
Therefore, the time remains unchanged: 100 days
Ans: D) 100 days
Trick
Cats ↓ in same ratio as mice → Time remains same
100 cats × 100 days → 100 mice
4 cats × 100 days → 4 mice
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Time & Work - Practice Set
Same-Ratio Problems | SSC
1. If 50 cats kill 50 mice in 50 days, how many days will 10 cats take to kill 10 mice?
A) 10 days B) 25 days C) 50 days D) 100 days
2. If 80 workers complete 80 units of work in 80 days, how many days will 20 workers take to complete 20 units?
A) 20 days B) 40 days C) 80 days D) 160 days
3. If 60 machines produce 60 items in 30 days, how many days will 20 machines take to produce 20 items?
A) 10 days B) 20 days C) 30 days D) 60 days
4. If 40 men complete 40 tasks in 40 days, how many days will 8 men take to complete 8 tasks?
A) 8 days B) 20 days C) 40 days D) 80 days
5. If 120 hens eat 120 kg of feed in 12 days, how many days will 30 hens take to eat 30 kg of feed?
A) 3 days B) 6 days C) 12 days D) 24 days
Rule: When workers/animals and work are reduced in the same ratio, the time remains unchanged.