Answer:Lucas is faster
Step-by-step explanation:
Distance = speed × time
Time = distance × speed
the path from the bottom to the top of the mountain was 2 miles.
James climbed at an average rate of 3 mph. This means that the time it took James to climb to the top of the mountain would be
2/3 hours
James ran back at 4 mph. This means that the time it took James run back to the bottom of the mountain would be
2/4 = 1/2 hours
Total time that James spent would be
2/3 + 1/2 = 7/6 = 1.7 hours.
Lucas climbed at an average rate of 2 mph. This means that the time it took Lucas to climb to the top of the mountain would be
2/2 = 1 hour
Lucas ran back at 5 mph. This means that the time it took Lucas to run back to the bottom of the mountain would be
2/5 hours
Total time that James spent would be
1 + 2/5 = 1.4hours.
