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?(1 point) Responses 50 mph 50 mph 56 mph 56 mph 64 mph 64 mph 30 mph
To find the minimum speed Claude should travel, we need to first find the distance of the detour.
The usual distance from home to work is 48 miles per hour x 40 minutes = 32 miles.
Since the detour is 8 miles longer than usual, the distance of the detour is 32 miles + 8 miles = 40 miles.
To find the minimum speed Claude should travel, we need to find the maximum amount of time he can spend traveling the detour.
48 minutes - 40 minutes = 8 minutes.
To find the minimum speed, we divide the distance of the detour by the maximum time allowed: 40 miles / 8 minutes = 5 miles per minute.
To convert this to miles per hour, we multiply by 60: 5 miles per minute x 60 minutes per hour = 300 miles per hour.
Therefore, the minimum speed Claude should travel is 300 miles per hour, which is not one of the given options.