Final answer:
After calculating the total distance Joshua hiked (14 km) and his walking speed (3 km/h which is 0.05 km/min), the total hiking time is found to be 280 minutes, which doesn't match the provided options.
Step-by-step explanation:
The question asks how many minutes it takes Joshua to complete his hike given the lengths of three trails he walks and his average walking speed. To solve this, we first need to find the total distance Joshua hikes and then calculate the time it will take him at his average speed.
The first trail is 3.6 kilometers long, and the second trail is 3.7 kilometers long. The third trail is 600 meters shorter than the sum of the first two trails. We need to add the lengths of the first and second trails and subtract 600 meters to find the third trail's length:
- First trail: 3.6 km
- Second trail: 3.7 km
- Sum of first two trails: 3.6 km + 3.7 km = 7.3 km
- Third trail: 7.3 km - 0.6 km = 6.7 km
Now we add up all the trails to get the total distance:
- Total distance: 3.6 km + 3.7 km + 6.7 km = 14 km
Next, we convert Joshua's walking speed to kilometers per minute and calculate the time:
- Joshua walks at 3 kilometers per hour. There are 60 minutes in an hour, so he walks at 3 km / 60 min = 0.05 km per minute.
- Total time in minutes: 14 km / 0.05 km/minute = 280 minutes
Since the options given in the problem don't include 280 minutes, it suggests that there might be an error in the given options or in the calculations.