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A can run 20% faster than B. If B can run 30 km in 3 hours, how much distance ca

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Question: A can run 20% faster than B. If B can run 30 km in 3 hours, how much distance can A cover in the same time?

Options:

  1. 36 km
  2. 32 km
  3. 30 km
  4. 28 km

Correct Answer: 32 km

Solution:

B\'s speed = 30 km / 3 hours = 10 km/h. A\'s speed = 10 km/h * 1.2 = 12 km/h. Distance A can cover in 3 hours = 12 km/h * 3 hours = 36 km.

A can run 20% faster than B. If B can run 30 km in 3 hours, how much distance ca

Practice Questions

Q1
A can run 20% faster than B. If B can run 30 km in 3 hours, how much distance can A cover in the same time?
  1. 36 km
  2. 32 km
  3. 30 km
  4. 28 km

Questions & Step-by-Step Solutions

A can run 20% faster than B. If B can run 30 km in 3 hours, how much distance can A cover in the same time?
  • Step 1: Calculate B's speed by dividing the distance B can run by the time it takes. B's speed = 30 km / 3 hours.
  • Step 2: Simplify the calculation to find B's speed. B's speed = 10 km/h.
  • Step 3: Since A can run 20% faster than B, calculate A's speed. A's speed = B's speed * 1.2.
  • Step 4: Substitute B's speed into the equation to find A's speed. A's speed = 10 km/h * 1.2 = 12 km/h.
  • Step 5: To find out how far A can run in the same time (3 hours), multiply A's speed by the time. Distance A can cover = A's speed * 3 hours.
  • Step 6: Substitute A's speed into the equation. Distance A can cover = 12 km/h * 3 hours = 36 km.
  • Speed Calculation – Understanding how to calculate speed from distance and time.
  • Percentage Increase – Applying percentage increase to determine relative speeds.
  • Distance Calculation – Using speed to calculate distance covered over a specific time.
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