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Answer :
Sure, let's find the weight of the 4th girl and determine how long it would take 25 men to dig the hole.
### Part 1: Finding the Weight of the 4th Girl
1. Total Weight of 4 Girls: We know that the combined weight of all 4 girls is 196 kg.
2. Weights of 3 Girls:
- The first girl weighs 45 kg.
- The second girl weighs 75 kg.
- The third girl weighs 60 kg.
3. Calculate the Total Weight of the 3 Girls:
- Add their weights: [tex]\(45 + 75 + 60 = 180\)[/tex] kg.
4. Determine the Weight of the 4th Girl:
- Subtract the total weight of the 3 girls from the total weight of all 4 girls:
[tex]\(196 - 180 = 16\)[/tex] kg.
Hence, the weight of the 4th girl is 16 kg.
### Part 2: Time Taken by 25 Men to Dig the Same Hole
1. Work Done by 5 Men: 5 men can dig the hole in 15 days.
2. Understand the Relation Between Men and Work:
- If more men work at the same pace, the job will be completed faster.
- The work done by people is inversely proportional to the number of people when the pace is constant.
3. Calculate the Time for 25 Men:
- Since 25 men is 5 times as many as 5 men, they should take 1/5 the time to complete the same work.
- Divide the original time by 5: [tex]\(15 \div 5 = 3\)[/tex] days.
So, 25 men would take 3 days to dig the same hole working at the same pace.
### Part 1: Finding the Weight of the 4th Girl
1. Total Weight of 4 Girls: We know that the combined weight of all 4 girls is 196 kg.
2. Weights of 3 Girls:
- The first girl weighs 45 kg.
- The second girl weighs 75 kg.
- The third girl weighs 60 kg.
3. Calculate the Total Weight of the 3 Girls:
- Add their weights: [tex]\(45 + 75 + 60 = 180\)[/tex] kg.
4. Determine the Weight of the 4th Girl:
- Subtract the total weight of the 3 girls from the total weight of all 4 girls:
[tex]\(196 - 180 = 16\)[/tex] kg.
Hence, the weight of the 4th girl is 16 kg.
### Part 2: Time Taken by 25 Men to Dig the Same Hole
1. Work Done by 5 Men: 5 men can dig the hole in 15 days.
2. Understand the Relation Between Men and Work:
- If more men work at the same pace, the job will be completed faster.
- The work done by people is inversely proportional to the number of people when the pace is constant.
3. Calculate the Time for 25 Men:
- Since 25 men is 5 times as many as 5 men, they should take 1/5 the time to complete the same work.
- Divide the original time by 5: [tex]\(15 \div 5 = 3\)[/tex] days.
So, 25 men would take 3 days to dig the same hole working at the same pace.
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