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If a soldier can carry a load of 40 kg for 5 km, how much weight can he carry fo

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Question: If a soldier can carry a load of 40 kg for 5 km, how much weight can he carry for 10 km if the weight carried is directly proportional to the distance? (2020)

Options:

  1. 20 kg
  2. 30 kg
  3. 40 kg
  4. 50 kg

Correct Answer: 20 kg

Exam Year: 2020

Solution: 

If distance doubles, weight carried is halved. So, 40 kg / 2 = 20 kg.

If a soldier can carry a load of 40 kg for 5 km, how much weight can he carry fo

Practice Questions

Q1
If a soldier can carry a load of 40 kg for 5 km, how much weight can he carry for 10 km if the weight carried is directly proportional to the distance? (2020)
  1. 20 kg
  2. 30 kg
  3. 40 kg
  4. 50 kg

Questions & Step-by-Step Solutions

If a soldier can carry a load of 40 kg for 5 km, how much weight can he carry for 10 km if the weight carried is directly proportional to the distance? (2020)
  • Step 1: Understand that the soldier can carry 40 kg for 5 km.
  • Step 2: Recognize that if the distance increases, the weight he can carry decreases.
  • Step 3: Note that the relationship between weight and distance is directly proportional.
  • Step 4: Since the distance is doubling from 5 km to 10 km, we need to find out how this affects the weight.
  • Step 5: If the distance doubles (from 5 km to 10 km), the weight he can carry is halved.
  • Step 6: Calculate the new weight: 40 kg divided by 2 equals 20 kg.
  • Step 7: Conclude that the soldier can carry 20 kg for 10 km.
  • Direct Proportionality – The relationship between two quantities where one is a constant multiple of the other, indicating that as one increases, the other decreases in a predictable manner.
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