Two boys measured the length of the paved road with their footsteps. One of them walked 40 steps 50 centimeters each, the other walked 40 steps 55 centimeters each. Find the…
Two boys measured the length of the paved road with their footsteps. One of them walked 40 steps 50 centimeters each, the other walked 40 steps 55 centimeters each. Find the measured length of the paved road. Express centimeters with meters
To find the measured length of the paved road, we need to calculate the total distances measured by both boys and then convert these distances to meters.
Step 1: Calculate the distance measured by each boy
First boy:
- Number of steps: 40
- Length of each step: 50 cm
Total distance measured by the first boy: \[ 40 \, \text{steps} \times 50 \, \text{cm/step} = 2000 \, \text{cm} \]
Second boy:
- Number of steps: 40
- Length of each step: 55 cm
Total distance measured by the second boy: \[ 40 \, \text{steps} \times 55 \, \text{cm/step} = 2200 \, \text{cm} \]
Step 2: Find the average of the two distances
To get a good estimate of the length of the paved road, we will average the distances. \[ \text{Average distance} = \frac{2000 \, \text{cm} + 2200 \, \text{cm}}{2} = \frac{4200 \, \text{cm}}{2} = 2100 \, \text{cm} \]
Step 3: Convert centimeters to meters
Since 1 meter = 100 centimeters, we convert the average distance to meters: \[ \text{Distance in meters} = \frac{2100 \, \text{cm}}{100} = 21 \, \text{m} \]
Conclusion
The measured length of the paved road is 21 meters.
