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Answer:
The first option will take a total of 3.2 hours while the second option will take just 3 hours
This shows that the second option is faster
Step-by-step explanation:
Here, we want to compare two hiking options and see the one which is faster.
At any point in time;
Distance = speed * time
In the first option, he could hike at 3 mph for two hours.
Total distance covered would be 3 * 2 = 6 miles
Distance left = 12 miles - 6 miles = 6 miles
Time taken to hike 6 miles at 5 mph will be ; 6/5 = 1.2 hours
Total time for the first type hiking = 1.2 hours + 2 hours = 3.2 hours
For the second option;
Time = distance/speed = 12 miles/4 mph = 3 hours
We can see that the second option is faster
Here, we are required to determine how long each of the options take and which of the 2 options is faster .
Therefore;
Therefore;Option 1: 3.2hours
Therefore;Option 1: 3.2hoursOption 2: 3hours.
Therefore;Option 1: 3.2hoursOption 2: 3hours.Ultimately, since option 2 takes 3hours and option 1 takes 3.2hours to hike down the distance respectively, Option 2 is faster.
- Total hiking distance = 12 miles
For first option;
- He could hike at 3 mph for the first two hours and then go the rest of the way at 5 mph.
- The statement above suggests that after the first 2 hours, 6 miles will have been covered and the remaining 6 miles can be covered at 5mph in (6/5)hours = 1.2hours.
- Therefore, the total time taken using this option is;
- (2 + 1.2) hours = 3.2hours.
For second option;
- He could go the whole way at 4mph.
- At this pace, he is able to travel the whole 12mile hiking distance in (12/4)hours.
- Therefore, the total time taken using this option is; 3hours.
Therefore;
- Option 1: 3.2hours
- Option 2: 3hours.
Ultimately, since option 2 takes 3hours and option 1 takes 3.2hours to hike down the distance respectively, Option 2 is faster.
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