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
30 mph
To find the minimum speed Claude should travel, we need to calculate the maximum amount of time it can take for him to reach the destination in no less than 48 minutes.
His usual travel time is 40 minutes.
Since he has to take a detour that makes the trip 8 miles longer, we can use the formula: speed = distance/time.
So, if he travels at 48 miles per hour, the distance he can cover in 48 minutes is:
48 miles/hour x (48 minutes / 60 minutes/hour) = 38.4 miles
Since his usual trip is 8 miles shorter than this, we can calculate the maximum speed he can travel to cover the additional 8 miles in no more than 48 minutes.
Speed = distance/time = 8 miles / 48 minutes = 1/6 mile per minute
To convert this to mph, we multiply by 60 minutes/hour:
1/6 mile per minute x 60 minutes/hour = 10 miles per hour
Therefore, the minimum speed Claude should travel to reach the destination in no less than 48 minutes is 10 mph.