How Long Does It Take to Travel 10 Kilometers at 50 MPH?

When traveling at a speed of 50 miles per hour (MPH), one often wonders about the time required to cover 10 kilometers. This article will guide you through the calculation process, providing clear steps and explanations to determine the correct travel time.

Understanding Speed and Distance

Speed is defined as the distance covered over a period of time. The formula to calculate distance is:

Distance Speed × Time

Conversion of Units

To solve the problem, we need to convert the units appropriately. First, let's convert the speed from miles per hour (mph) to kilometers per hour (km/hr) to match the units of distance.

1 mile ≈ 1.60934 kilometers 50 mph 50 × 1.60934 km/hr ≈ 80.4672 km/hr

Using a Rule of Three for Calculation

We can use the rule of three to determine the distance traveled in 10 minutes. Let's break it down step-by-step:

1 hour 60 minutes

In 1 hour, the car travels 80.4672 km.

Therefore, in 10 minutes (1/6 of an hour), the distance can be calculated as:

1 hour → 80.4672 km 1/6 hour → x km x (80.4672 km) × (1/6) 13.4112 km

So, in 10 minutes, the car will cover approximately 13.4112 kilometers.

Simplifying the Calculation

Alternatively, you can simplify the process by converting the speed directly:

[ Distance in km Speed in km/hr × Time in hours ]

[ Distance 50 km/hr × (10 min / 60 min) 50 km/hr × (1/6 hr) 8.3333 km ]

General Rule of Calculation

A quick way to calculate the time required to travel a certain distance at a given speed is to use:

[ Time (minutes) (Distance in km) ÷ (Speed in km/hr) × 60 ]

[ Time 10 km ÷ 50 km/hr × 60 min/hr 10 / 50 × 60 12 min ]

However, this might not be accurate due to rounding errors in converting mph to km/hr. The precise calculation we have done shows that the correct time is closer to 13.4112 minutes.

Conclusion

To summarize, traveling at 50 miles per hour, it will take approximately 13.4112 minutes to cover 10 kilometers. Always ensure unit consistency to get accurate results in speed and distance calculations.

Frequently Asked Questions

What is the speed of 50 mph in km/hr?

1 mile ≈ 1.60934 kilometers, so 50 mph ≈ 80.4672 km/hr.

How do you convert minutes into hours for time calculation?

To convert minutes into hours, divide the number of minutes by 60. For example, 10 minutes 10 / 60 0.16667 hours.

What is the rule of three method used for?

The rule of three is a mathematical method used to find the fourth term of a proportion when three terms are known. It is particularly useful in solving problems involving speed, distance, and time.