A can run a kilometre in 4 minutes 54 sec. and B in 5 min. How many metres start can A give B in a kim race. So that the race may and in a dead heat.

Options

A. 20 metres
B. 16 metres
C. 18 metres
D. 14-5 metres

Answer

To solve the problem of how many meters start A can give B in a 1 km race so that they finish in a dead heat, we can follow these steps:

### Step 1: Convert the times into seconds
- A's time to run 1 km = 4 minutes 54 seconds
- Convert this to seconds:
- 4 minutes = 4 × 60 = 240 seconds
- 54 seconds = 54 seconds
- Total time for A = 240 + 54 = 294 seconds

- B's time to run 1 km = 5 minutes
- Convert this to seconds:
- 5 minutes = 5 × 60 = 300 seconds
- Total time for B = 300 seconds

### Step 2: Calculate the difference in time
- The difference in time taken by A and B:
- Time difference = B's time - A's time
- Time difference = 300 seconds - 294 seconds = 6 seconds

### Step 3: Determine how far A can run in the time difference
- We need to find out how far A can run in 6 seconds.
- A runs 1 km (1000 meters) in 294 seconds.
- To find the distance A covers in 6 seconds, we can set up a proportion:
- Distance covered by A in 6 seconds = (1000 meters / 294 seconds) × 6 seconds

### Step 4: Calculate the distance
- Distance = (1000 / 294) × 6
- Distance = (1000 × 6) / 294
- Distance = 6000 / 294
- Distance ≈ 20.41 meters

### Step 5: Round to the nearest whole number
- Since we typically round to the nearest whole number in such problems, we can say:
- A can give B approximately 20 meters start.

### Final Answer
A can give B a start of **20 meters** in a 1 km race for them to finish in a dead heat.

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