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?
What is 1.5(8) + (24/60)(55) ?
To determine the total distance the man traveled, we need to calculate the distances covered during running and on the bus separately.
Distance traveled while running:
Speed = 8 miles/hour
Time = 1.5 hours
To calculate the distance, we can multiply the speed by the time:
Distance = Speed x Time
Distance = 8 miles/hour x 1.5 hours
Distance = 12 miles
Therefore, the man traveled 12 miles on foot.
Distance traveled on the bus:
Speed = 55 miles/hour
Time = 24 minutes
It is important to note that the time given is in minutes, while the speed is in miles per hour. So, we need to convert the time to hours.
Since there are 60 minutes in an hour, we divide 24 minutes by 60 to convert it to hours:
Time = 24 minutes ÷ 60 = 0.4 hours
Now, we can calculate the distance covered on the bus:
Distance = Speed x Time
Distance = 55 miles/hour x 0.4 hours
Distance = 22 miles
Therefore, the man traveled 22 miles on the bus.
To find the total distance traveled, we add the distance covered while running to the distance covered on the bus:
Total Distance = Distance while running + Distance on the bus
Total Distance = 12 miles + 22 miles
Total Distance = 34 miles
So, the man traveled a total distance of 34 miles.