Rashid can run 880 metres race in 2 minutes 24 seconds and Hamid in 2 minutes 40 seconds. How many metres start can Rashid give Hamid in a 880 metres race to make a dead heat ?

Options

A. 88 ms
B. 77 ms
C. 80 ms
D. 98 ms

Answer

To solve the problem of how many meters start Rashid can give Hamid in an 880 meters race to make a dead heat, we will follow these steps:

### Step 1: Convert the race times into seconds
- Rashid's time: 2 minutes 24 seconds = (2 * 60) + 24 = 144 seconds
- Hamid's time: 2 minutes 40 seconds = (2 * 60) + 40 = 160 seconds

### Step 2: Calculate the speeds of Rashid and Hamid
- Speed of Rashid = Distance / Time = 880 meters / 144 seconds = 6.111 meters/second
- Speed of Hamid = Distance / Time = 880 meters / 160 seconds = 5.5 meters/second

### Step 3: Determine the time taken by Hamid to run the entire 880 meters
- Hamid takes 160 seconds to run 880 meters.

### Step 4: Calculate the distance Rashid can cover in the time Hamid takes to run 880 meters
- Distance covered by Rashid in 160 seconds = Speed of Rashid * Time taken by Hamid
- Distance covered by Rashid = 6.111 meters/second * 160 seconds = 977.76 meters

### Step 5: Calculate the start Rashid can give Hamid
- The start that Rashid can give Hamid = Distance covered by Rashid - Distance of the race
- Start = 977.76 meters - 880 meters = 97.76 meters

### Final Answer
Rashid can give Hamid approximately 97.76 meters start in an 880 meters race to make a dead heat.

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