Math Problem Statement

A truck travels 15km in 10.7 minutes. What is the speed of the truck

Solution

To find the speed of the truck, we can use the formula for speed:

Speed=DistanceTime\text{Speed} = \frac{\text{Distance}}{\text{Time}}

Here, the distance is 15 km, and the time is 10.7 minutes. However, to express the speed in a more standard unit like kilometers per hour (km/h), we should convert the time from minutes to hours.

Time in hours=10.7 minutes600.1783 hours\text{Time in hours} = \frac{10.7 \text{ minutes}}{60} \approx 0.1783 \text{ hours}

Now, calculate the speed:

Speed=15 km0.1783 hours84.12 km/h\text{Speed} = \frac{15 \text{ km}}{0.1783 \text{ hours}} \approx 84.12 \text{ km/h}

So, the speed of the truck is approximately 84.12 km/h.

Would you like more details or have any questions? Here are some related questions:

  1. What would the truck's speed be if it traveled 20 km in the same time?
  2. How long would it take the truck to travel 50 km at this speed?
  3. How would the speed change if the truck took 15 minutes to travel 15 km?
  4. If the truck maintained this speed, how far would it travel in 30 minutes?
  5. What is the truck's speed in meters per second (m/s)?

Tip: When converting units, always double-check the conversion factors to ensure accuracy.

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Math Problem Analysis

Mathematical Concepts

Speed Calculation
Unit Conversion
Ratio and Proportion

Formulas

Speed = Distance / Time

Theorems

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Suitable Grade Level

Grades 6-8