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19. Roy bicycled 234 miles in 14 days. At this rate, how far would Roy bicycle in 42 days? mm

Ask by Peters Frank. in the United States
Mar 20,2025

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Roy would bicycle 702 miles in 42 days.

Solution

To find out how far Roy would bicycle in 42 days at the same rate, we can use the concept of proportional reasoning. Given: - Roy bicycled 234 miles in 14 days. Let's calculate the rate at which Roy bicycles: \[ \text{Rate} = \frac{\text{Distance}}{\text{Time}} \] Substitute the given values: \[ \text{Rate} = \frac{234 \text{ miles}}{14 \text{ days}} \] Now, we can use this rate to find out how far Roy would bicycle in 42 days: \[ \text{Distance in 42 days} = \text{Rate} \times \text{Time in 42 days} \] Substitute the values: \[ \text{Distance in 42 days} = \frac{234 \text{ miles}}{14 \text{ days}} \times 42 \text{ days} \] Let's calculate this. Calculate the value by following steps: - step0: Calculate: \(\frac{234}{14}\times 42\) - step1: Reduce the fraction: \(\frac{117}{7}\times 42\) - step2: Reduce the numbers: \(117\times 6\) - step3: Multiply the numbers: \(702\) Roy would bicycle 702 miles in 42 days at the same rate.

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If Roy bicycled 234 miles in 14 days, we can find his daily cycling rate by dividing the total miles by the number of days. This gives us approximately 16.71 miles per day. To find out how far he would bicycle in 42 days, simply multiply his daily rate by 42. So, 16.71 miles/day × 42 days equals about 700.82 miles. Therefore, Roy would bicycle approximately 701 miles in 42 days. Now, speaking about bicycles, did you know that the modern bicycle as we know it has an interesting history? It dates back to the early 19th century with the invention of the "dandy horse," a two-wheeled, pedal-less contraption. Bicycle designs evolved rapidly, leading to the penny-farthing and eventually the safety bicycle, which introduced the familiar diamond frame. On the practical side, if you're taking up cycling or increasing your distance, it’s crucial to maintain your bike. Regularly check tire pressure, clean the chain, and adjust the brakes to avoid breakdowns. A common mistake new cyclists make is forgetting to stretch before riding, which can lead to cramps or injuries. So don’t skip that warm-up!

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