Jose travels from the place A to place B at a certain speed. When he comes back from place B to place A, his speed is 60 miles per hour. If the average speed for the whole journey is 72 miles per hour, find his speed when he travels from the place A to B.
1). 40 miles per hour
2). 50 miles per hour
3). 70 miles per hour
4). 90 miles per hour
Let the distance from A to B be x miles.
Total time taken = distance/speed = 2x/72 = x/36 hr
Time while coming back = x/60
∴ Time taken while going from A to B = x/36 – x/60 = x/90
Speed while going from A to B = distance/time = x/(x/90) = 90 miles per hour