It usually takes Claude 40 minutes driving at 48 miles per hour to go from home to work. But, due to road maintenance today, Claude had to take a detour which makes the trip 8 miles longer than usual. What is the minimum speed Claude should travel so that he can reach the destination in no less than 48 minutes?
50 mph
56 mph
64 mph
30 mph
To find the minimum speed Claude should travel, we need to calculate the maximum time it would take for him to reach the destination in 48 minutes.
Since Claude usually takes 40 minutes to go from home to work at a speed of 48 miles per hour, we can calculate the distance between the two points: 48 miles/hour * 40 minutes/60 minutes = 32 miles.
Since Claude had to take a detour that made the trip 8 miles longer, the new total distance is 32 miles + 8 miles = 40 miles.
To find the minimum speed needed to travel 40 miles in 48 minutes, we can divide the distance by the time: 40 miles / 48 minutes = 0.833 miles/minute.
Since we have the speed in miles per hour, we need to convert the speed from miles/minute to miles/hour: 0.833 miles/minute * 60 minutes/hour = 50 miles/hour.
Therefore, the minimum speed Claude should travel is 50 miles per hour.