Q. Harvey the wonder hamster can run 361km in 41 hour. Harvey runs at a constant rate.Find his average speed in kilometers per hour.kilometers per hour
Identify values: Identify the given values.Harvey runs 3(61) km in (41) hour.Convert the mixed number to an improper fraction for easier calculation.3(61) km = (3×6+1)/6 km = (18+1)/6 km = 619 km.
Calculate average speed: Calculate the average speed using the formula.Average speed = Total distance / Total timeHere, Total distance = 619 km and Total time = 41 hour.
Perform division: Perform the division to find the average speed.Average speed = (619) km ÷(41) hourTo divide by a fraction, multiply by its reciprocal.Average speed = (619) km ×(14) hour−1
Multiply numerators and denominators: Multiply the numerators and denominators.Average speed = (19×4)/(6×1) km/hourAverage speed = 76/6 km/hour
Simplify fraction: Simplify the fraction if possible.676 km/hour can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2.Average speed = (6÷276÷2) km/hourAverage speed = 338 km/hour
Convert to mixed number: Convert the improper fraction to a mixed number if necessary. 338 km/hour = 12(32) km/hour
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