Question

Bob is hiking down a 12-mile country trail. He could hike at 3 mph for the first two hours and then go the rest of the way at 5 mph or he could just go the whole way at 4 mph. How long would each of these options take? Which option is the faster?

Answer 1

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

Answer 2

Answer:

Second Route

Step-by-step explanation:

1st=3.2 hours

2nd=3 hours