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?

He ran 8 miles per hour.

Multiply his speed by the time he ran to find total distance:

8 mph x 1.5 hours = 12 miles

He ran for 12 miles.

Now Find the distance the bus went:

For time, divide the minutes the bus drove by 60 minutes per hour.

55 miles per hour x 24/60 = 22 miles

The bus went 22 miles.

Total distance = 12 + 22 = 34 miles.