Question

James and Lucas competed in climbing a mountain and coming back. James climbed Alan average rate of 3 mph and ran back at 4 mph. Lucas climbed at an average rate of 2 mph and ran back at 5 mph. If the path from the bottom to the top of the mountain was 2 miles, how much time did each take to finish and who was faster?

Answer 1

It took 70 minutes for james to finish which mean he finished faster bc lucas finished after james and it took lucas 84 minutes

Answer 2

Answer: 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.