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A jogs at a speed of 8 km/h and B jogs at 10 km/h. If they start together and A

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Question: A jogs at a speed of 8 km/h and B jogs at 10 km/h. If they start together and A runs for 30 minutes, how far ahead will A be?

Options:

  1. 2 km
  2. 3 km
  3. 4 km
  4. 1 km

Correct Answer: 2 km

Solution:

Distance A runs = 8 km/h * 0.5 h = 4 km. Distance B runs = 10 km/h * 0.5 h = 5 km. A is 1 km behind.

A jogs at a speed of 8 km/h and B jogs at 10 km/h. If they start together and A

Practice Questions

Q1
A jogs at a speed of 8 km/h and B jogs at 10 km/h. If they start together and A runs for 30 minutes, how far ahead will A be?
  1. 2 km
  2. 3 km
  3. 4 km
  4. 1 km

Questions & Step-by-Step Solutions

A jogs at a speed of 8 km/h and B jogs at 10 km/h. If they start together and A runs for 30 minutes, how far ahead will A be?
  • Step 1: Understand the speeds of A and B. A jogs at 8 km/h and B jogs at 10 km/h.
  • Step 2: Convert the time A jogs into hours. A jogs for 30 minutes, which is 0.5 hours.
  • Step 3: Calculate the distance A runs using the formula: Distance = Speed × Time. For A, it is 8 km/h × 0.5 h = 4 km.
  • Step 4: Calculate the distance B runs for the same time. For B, it is 10 km/h × 0.5 h = 5 km.
  • Step 5: Compare the distances. A runs 4 km and B runs 5 km.
  • Step 6: Find out how far ahead B is compared to A. B is 5 km - 4 km = 1 km ahead of A.
  • Speed and Distance Calculation – Understanding the relationship between speed, time, and distance to calculate how far each jogger travels.
  • Relative Positioning – Determining the difference in distance traveled by two individuals moving at different speeds.
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