If a runner completes one lap of a track in 64 seconds, approximately how many minutes will it take her to run 40 laps at the same speed?

Options

A. `30`
B. `43`
C. `52`
D. `128`

Answer

To solve the problem of how long it will take a runner to complete 40 laps when each lap takes 64 seconds, we can follow these steps:

### Step 1: Calculate the total time in seconds for 40 laps.
To find the total time taken to complete 40 laps, we multiply the time taken for one lap by the number of laps.

\[ \text{Total time in seconds} = \text{Time per lap} \times \text{Number of laps} = 64 \text{ seconds/lap} \times 40 \text{ laps} \]

Calculating this gives:

\[ 64 \times 40 = 2560 \text{ seconds} \]

### Step 2: Convert seconds to minutes.
Since the question asks for the time in minutes, we need to convert seconds to minutes. There are 60 seconds in a minute, so we divide the total seconds by 60.

\[ \text{Total time in minutes} = \frac{\text{Total time in seconds}}{60} = \frac{2560 \text{ seconds}}{60} \]

Calculating this gives:

\[ \frac{2560}{60} \approx 42.67 \text{ minutes} \]

### Step 3: Round to the nearest whole number.
The question asks for an approximate answer, so we round 42.67 to the nearest whole number.

\[ \text{Approximately} = 43 \text{ minutes} \]

### Final Answer:
Therefore, it will take her approximately **43 minutes** to run 40 laps.

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