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
[tex]Time=\frac{Distance}{Speed}[/tex]
Time took by James for climbing = [tex]\frac{2}{3}\ hours[/tex]
Time took for running back = [tex]\frac{2}{4}\ hours[/tex]
Total time = [tex]\frac{2}{3}+\frac{2}{4}=\frac{8+6}{12}=\frac{14}{12}[/tex]
Total time taken by James = [tex]\frac{7}{6}\ hours[/tex]
1 hour = 60
Total time taken by James = [tex]\frac{7}{6}*60=70\ minutes[/tex]
Time took by Lucas for climbing = [tex]\frac{2}{2}=\ 1\ hour[/tex]
Time took by Lucas for climbing = 60 minutes
Time took on return = [tex]\frac{2}{5} of\ an\ hour=\frac{2}{5}*60=24\ minutes[/tex]
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
Learn more about distance at:
#LearnwithBrainly
