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icang [17]
3 years ago
7

James and Lucas competed in climbing a mountain and coming back. James climbed at an 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:
Mathematics
1 answer:
Bogdan [553]3 years ago
7 0

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=\frac{Distance}{Speed}

Time took by James for climbing = \frac{2}{3}\ hours

Time took for running back = \frac{2}{4}\ hours

Total time = \frac{2}{3}+\frac{2}{4}=\frac{8+6}{12}=\frac{14}{12}

Total time taken by James = \frac{7}{6}\ hours

1 hour = 60

Total time taken by James = \frac{7}{6}*60=70\ minutes

Time took by Lucas for climbing = \frac{2}{2}=\ 1\ hour

Time took by Lucas for climbing = 60 minutes

Time took on return = \frac{2}{5} of\ an\ hour=\frac{2}{5}*60=24\ minutes

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:

  • brainly.com/question/1021953
  • brainly.com/question/10480770

#LearnwithBrainly

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