Question

a car is traveling at a rate of 50 kilometers per hour. what is the car’s rate in miles per hour? how many miles will the car travel in 5 hours? in your computations, assume that 1 mile is equal to 1.6 kilometers. do not round your answers.
rate: (\frac{square}{square}) (\frac{\text{mi}}{\text{h}})
distance traveled in 5 hours: (square) (\text{mi})

Explanation:

Step1: Convert km/h to mi/h

Given 1 mile = 1.6 kilometers, so to convert 50 km/h to mi/h, we use the conversion factor. The formula is \( \text{Rate (mi/h)} = \frac{50\ \text{km/h}}{1.6\ \text{km/mi}} \). Calculating this, \( \frac{50}{1.6} = 31.25 \) mi/h.

Step2: Calculate distance in 5 hours

The formula for distance is \( \text{Distance} = \text{Rate} \times \text{Time} \). We know the rate is 31.25 mi/h and time is 5 hours. So, \( \text{Distance} = 31.25\ \text{mi/h} \times 5\ \text{h} = 156.25 \) mi.

Answer:

Rate: \( \boldsymbol{31.25} \) mi/h
Distance traveled in 5 hours: \( \boldsymbol{156.25} \) mi