a cyclist rides a bicycle at an average speed 24 miles per hour. If she wants to bike 195km, how long (in hours) must she ride.
To find out how long the cyclist must ride, we can use the formula:
Time = Distance / Speed
First, we need to convert the distance from kilometers to miles, since the speed is given in miles per hour.
1 kilometer is approximately 0.621371 miles.
So, the distance in miles would be:
Distance (in miles) = 195 km * 0.621371 miles/km
Next, we can plug the values into the formula to calculate the time:
Time = Distance (in miles) / Speed
Time = (195 km * 0.621371 miles/km) / 24 miles per hour
Simplifying the equation:
Time = 12.4278 miles / 24 miles per hour
Time ≈ 0.5186 hours
Therefore, the cyclist must ride for approximately 0.5186 hours (or 31.116 minutes) to cover a distance of 195 km at an average speed of 24 miles per hour.