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: (1 1/2) * 8 = ?
Bus: 24/60 = 2/5 * 55 = ?
Running
1hour = 8 miles
1.5 hors = 8 x1.5 = 12 miles
Bus
60 minutes = 55 miles
24 mins = ?
24/60 x 55 = 22miles
total = 12 + 22 =34 miles.
34 hrs
To find the total distance traveled, we need to calculate the distance covered during the time the man ran and the distance covered during the time he was on the bus.
First, let's calculate the distance covered while running. We are given that the man ran for 1 hour and 30 minutes, which is equivalent to 1.5 hours, at a speed of 8 miles per hour. We can use the equation: Distance = Speed × Time.
Distance = 8 miles/hour × 1.5 hours = 12 miles
Therefore, the man covered 12 miles while running.
Next, let's calculate the distance covered while on the bus. We are given that the man was on the bus for 24 minutes, which is equivalent to 0.4 hours, and the speed of the bus was 55 miles per hour.
Distance = 55 miles/hour × 0.4 hours = 22 miles
Therefore, the man covered 22 miles while on the bus.
To find the total distance traveled, we add the distances covered while running and on the bus:
Total distance = Distance from running + Distance from bus
Total distance = 12 miles + 22 miles = 34 miles
Therefore, the man traveled a total distance of 34 miles.