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?
since distance = speed * time, he went
8(1/2) + 55(24/60) miles
To determine how far the man traveled, we need to calculate the distance covered during each leg of his journey and then add them together.
First, let's calculate the distance covered during the one-and-a-half-hour run at 8 miles per hour. We can use the formula:
Distance = Speed × Time
Given that the man ran for 1.5 hours at a speed of 8 miles per hour:
Distance = 8 miles/hour × 1.5 hours
Distance = 12 miles
So, during the run, the man covered a distance of 12 miles.
Next, let's calculate the distance covered during the bus ride. The man traveled on the bus for 24 minutes at a speed of 55 miles per hour. However, we need to convert minutes to hours:
24 minutes = 24/60 hours
24 minutes = 0.4 hours
Using the formula again:
Distance = Speed × Time
Distance = 55 miles/hour × 0.4 hours
Distance = 22 miles
Therefore, during the bus ride, the man covered a distance of 22 miles.
Finally, to find the total distance traveled, we add the distance covered during the run and the distance covered during the bus ride:
Total distance = 12 miles + 22 miles
Total distance = 34 miles
Hence, the man traveled a total distance of 34 miles.