If a man runs for an hour and a half at 8 miles an hour due south; and then he continues south on a bus traveling at 55 miles an hour, for 24 minutes. How far did he travel?
Running: 8 * 1.5 = 12
Bus: 55 * 0.4 = 22
To find the total distance traveled by the man, we need to calculate the distance he covered while running and then add it to the distance covered by the bus.
First, let's calculate the distance covered on foot:
Distance = Speed × Time
Distance = 8 miles/hour × 1.5 hours
Distance = 12 miles
The man covered 12 miles on foot.
Next, let's calculate the distance covered by the bus:
Distance = Speed × Time
Distance = 55 miles/hour × (24 minutes ÷ 60 minutes)
Distance = 55 miles/hour × 0.4 hour
Distance = 22 miles
The bus covered 22 miles.
Now, let's find the total distance traveled by adding both distances:
Total distance = Distance covered on foot + Distance covered by bus
Total distance = 12 miles + 22 miles
Total distance = 34 miles
Therefore, the man traveled a total distance of 34 miles.