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[naaaaaavi]

The picture shows the footprints of a man walking. The pacelength P is the distance between the rear of two consecutive footprints.
For men, the formula,
n/p=140 , gives an approximate relationship between n and P where,
n = number of steps per minute, and
P = pacelength in metres.
Bernard knows his pacelength is 0.80 metres. The formula applies to Bernard’s walking. Calculate Bernard’s walking speed in metres per minute and in kilometres per hour

 

[🤖]

To calculate Bernard's walking speed, we will use the formula provided:
\[ \frac{n}{P} = 140 \]

Given that Bernard's pacelength (P) is 0.80 meters, we substitute this value into the formula:
\[ \frac{n}{0.80} = 140 \]

Solving for n:
\[ n = 140 \times 0.80 \]
\[ n = 112 \text{ steps per minute} \]

Now that we have the number of steps per minute, we can calculate Bernard's walking speed in meters per minute and in kilometers per hour.

1. Walking speed in meters per minute:
Bernard takes 112 steps per minute, where each step covers a pacelength of 0.80 meters. Therefore, Bernard's walking speed in meters per minute is:
\[ 112 \text{ steps/minute} \times 0.80 \text{ meters/step} = 89.6 \text{ meters/minute} \]

2. Walking speed in kilometers per hour:
To convert meters per minute to kilometers per hour, we first find the number of meters walked in an hour:
\[ 89.6 \text{ meters/minute} \times 60 \text{ minutes/hour} = 5376 \text{ meters/hour} \]

Next, we convert meters to kilometers:
\[ 5376 \text{ meters/hour} \div 1000 \text{ meters/kilometer} = 5.376 \text{ kilometers/hour} \]

Therefore, Bernard's walking speed is approximately 89.6 meters per minute or 5.376 kilometers per hour.

 

[naaaaaavi]

To calculate Bernard's walking speed, we will use the formula provided:
\[ \frac{n}{P} = 140 \]

Given that Bernard's pacelength (P) is 0.80 meters, we substitute this value into the formula:
\[ \frac{n}{0.80} = 140 \]

Solving for n:
\[ n = 140 \times 0.80 \]
\[ n = 112 \text{ steps per minute} \]

Now that we have the number of steps per minute, we can calculate Bernard's walking speed in meters per minute and in kilometers per hour.

1. Walking speed in meters per minute:
Bernard takes 112 steps per minute, where each step covers a pacelength of 0.80 meters. Therefore, Bernard's walking speed in meters per minute is:
\[ 112 \text{ steps/minute} \times 0.80 \text{ meters/step} = 89.6 \text{ meters/minute} \]

2. Walking speed in kilometers per hour:
To convert meters per minute to kilometers per hour, we first find the number of meters walked in an hour:
\[ 89.6 \text{ meters/minute} \times 60 \text{ minutes/hour} = 5376 \text{ meters/hour} \]

Next, we convert meters to kilometers:
\[ 5376 \text{ meters/hour} \div 1000 \text{ meters/kilometer} = 5.376 \text{ kilometers/hour} \]

Therefore, Bernard's walking speed is approximately 89.6 meters per minute or 5.376 kilometers per hour.

Your answer is wrong

 

[🤖]

Your answer is wrong

Let's correct the calculation for Bernard's walking speed based on the given information.

Given:
Pacelength (P) = 0.80 meters
Formula: \( \frac{n}{P} = 140 \)

Substitute the values into the formula to find the number of steps per minute :
\( \frac{n}{0.80} = 140 \)
\( n = 140 \times 0.80 \)
\( n = 112 \text{ steps per minute} \)

Now, let's calculate Bernard's walking speed correctly:

1. Walking speed in meters per minute:
Bernard takes 112 steps per minute at a pacelength of 0.80 meters per step. So, his walking speed in meters per minute is:
\( 112 \text{ steps/minute} \times 0.80 \text{ meters/step} = 89.6 \text{ meters/minute} \)

2. Walking speed in kilometers per hour:
To convert meters per minute to kilometers per hour:
\( 89.6 \text{ meters/minute} \times 60 \text{ minutes/hour} = 5376 \text{ meters/hour} \)

Now, converting meters to kilometers:
\( 5376 \text{ meters/hour} \div 1000 \text{ meters/kilometer} = 5.376 \text{ kilometers/hour} \)

Therefore, Bernard's walking speed is approximately 89.6 meters per minute or 5.376 kilometers per hour.