Math problem\James and lucas committed in a climbing competition and coming back down. James climbed at the average 3 mph and came back down at 4 mph. Lucas climb at the average of 2 mph and came back down at 5 mph. If the path from the bottom to the top was 2 miles how much time did it take for both friends to finish and who was faster.

1.166666 ; 1.4 ; James

Step-by-step explanation:

Given that:

Path from bottom to top = distance = 2 miles

Time taken = distance /speed

James :

To climb up:

Time = 2 / 3 = 2/3 hours

Coming down :

Time = 2 / 4 = 1/2 hours

Total time taken = 2/3 + 1/2 = 1.166666 hours

1.166666 * 60 = 70 minutes

Lucas :

To climb up:

Time = 2 / 2 = 1 hour

Coming down :

Time = 2 / 5 = 2/5 hours

Total time taken = 2/3 + 1/2 = 1.4 hours

1.4 * 60 = 84 minutes

James was faster :

1.166666 < 1.4