It took 70 minutes for James to finish and 84 minutes for Lucas to finish and James was faster.
Step-by-step explanation:
Given,
Climbing rate of James = 3 mph
Running back rate of James = 4 mph
Climbing rate of Lucas = 2 mph
Running back rate = 5 mph
Total distance = 2 miles
We know that;
Distance = Speed * Time
As we have to find, we will rearrange the formula in terms of time

Time took by James for climbing = 
Time took for running back = 
Total time = 
Total time taken by James = 
1 hour = 60
Total time taken by James = 
Time took by Lucas for climbing = 
Time took by Lucas for climbing = 60 minutes
Time took on return = 
Total time taken by Lucas = 60+24 = 84 minutes
Therefore,
It took 70 minutes for James to finish and 84 minutes for Lucas to finish and James was faster.
Keywords: distance, speed
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