Math Problem Statement

Jake is planning to visit the library, which is 960 m away from the school if Jake walk 6 km/h. How long in minutes will it take her to get to the library?

Solution

To calculate how long it will take Jake to walk to the library, we need to use the formula:

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

Given:

  • Distance = 960 meters
  • Speed = 6 km/h

Since the distance is in meters and the speed is in kilometers per hour, we need to convert the distance to kilometers first:

960 m=9601000 km=0.96 km960 \text{ m} = \frac{960}{1000} \text{ km} = 0.96 \text{ km}

Now, using the formula for time:

Time=0.96 km6 km/h=0.16 hours\text{Time} = \frac{0.96 \text{ km}}{6 \text{ km/h}} = 0.16 \text{ hours}

Finally, convert the time from hours to minutes:

0.16 hours×60=9.6 minutes0.16 \text{ hours} \times 60 = 9.6 \text{ minutes}

So, it will take Jake approximately 9.6 minutes to get to the library.

Would you like more details or have any questions? Here are 5 related questions:

  1. If Jake increases her walking speed, how long will the trip take at 8 km/h?
  2. What is the time difference if Jake walks at 5 km/h instead of 6 km/h?
  3. How far would Jake travel in 30 minutes at the same speed of 6 km/h?
  4. What would be the time if the distance was 1.5 kilometers at the same speed?
  5. How long will it take Jake to walk back to the school, assuming no change in speed?

Tip: Always check unit consistency (like converting meters to kilometers) when working with distance and speed.

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Math Problem Analysis

Mathematical Concepts

Distance-Speed-Time Relationship
Unit Conversion

Formulas

Time = Distance / Speed

Theorems

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Suitable Grade Level

Grades 5-7