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

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Question: A can run 20% faster than B. If B can run 30 km in 3 hours, how far can A run 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 run 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 far can A run in

Practice Questions

Q1
A can run 20% faster than B. If B can run 30 km in 3 hours, how far can A run 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 far can A run in the same time?
  • Step 1: Calculate B's speed. B runs 30 km in 3 hours. To find the speed, divide the distance by the time: 30 km / 3 hours = 10 km/h.
  • Step 2: Determine A's speed. A runs 20% faster than B. To find A's speed, multiply B's speed by 1.2: 10 km/h * 1.2 = 12 km/h.
  • Step 3: Calculate the distance A can run in 3 hours. Use A's speed and multiply it by the time: 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 and time to calculate distance traveled.
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