Bob is hiking down a 12-mile country trail. He could hike 3 mph for the first two
hours and then hike 5 mph the rest of the way, or he could just hike 4 mph the whole
way. How long would each option take? Which option is faster?
The first option would take ______
The second option would take ______
The faster option is the _____
To find the time for each option, we can use the formula: time = distance / speed.
For the first option:
Distance for the first two hours = 3 mph * 2 hours = 6 miles.
Distance for the rest of the way = 12 miles - 6 miles = 6 miles.
Time for the first option = (6 miles / 3 mph) + (6 miles / 5 mph) = 2 hours + 1.2 hours = 3.2 hours.
For the second option:
Time for the second option = 12 miles / 4 mph = 3 hours.
Therefore, the first option would take 3.2 hours and the second option would take 3 hours. The faster option is the second option since it would take less time.