Question

Bob is hiking down a 15-mile country trail. He could hike at 5 mph for the first 2 hours and then go the rest of the way at 3 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

the fastest is starting at 5 mph then going three because it would take 3.66666666667 hours

Explanation:

the 4mph would take 3.75 hour while the 5mph then 3mph only takes 3.666666667

Answer 2

The First Option: 3 2/3 hours

The Second Option: 3 3/4 hours

The First Option is fastest.

Explanation:

Option 1:

First part- 5mph for 2 hours 5·2=10 (D=T·S)

15-10=5 because 15 is the total distance and 10 is the first part.(T=D/S)

Second part- 5/3= 1 2/3

5/3 because 5 is the distance left, and 3 is the speed. The time is 1 2/3 hours.

Option 2:

4mph 15m (T=D/S)

15/4= 3 3/4 hours