Understanding the Race Speed Problem

This question involves calculating the speed of one runner (Bhim) in a race, considering a head start given to another runner (Saral) and the margin of victory. We need to determine Bhim's speed based on the distance he ran and the time he took.

Race Conditions Analysis

Let's break down the information given:

• The total race distance is 400 meters.
• Bhim gave Saral a head start of 20 meters. This means:
  • Bhim had to run the full 400 meters.
  • Saral only had to run 400 meters - 20 meters = 380 meters.

Analyzing Finishing Times

We are given the time Saral took and the margin by which Saral won:

• Saral completed his race (380 meters) in 48 seconds.
• Saral defeated Bhim by a margin of 2 seconds. This means Saral finished 2 seconds *before* Bhim.
• Therefore, Bhim took 2 seconds longer than Saral to finish *his* race (400 meters).
• Bhim's total time = Saral's time + Margin of victory = 48 seconds + 2 seconds = 50 seconds.

Calculating Bhim's Speed

To find Bhim's speed, we use the fundamental formula for speed:

Speed = Distance / Time

Now, let's apply this to Bhim:

• Distance Bhim ran = 400 meters
• Time Bhim took = 50 seconds

Using the formula:

Bhim's Speed = $$ \frac{\text{Distance}}{\text{Time}} $$

Bhim's Speed = $$ \frac{400 \text{ m}}{50 \text{ s}} $$

Bhim's Speed = 8 m/s

Conclusion on Bhim's Speed

Based on the calculations derived from the race conditions, Bhim's speed was 8 m/s.