A cyclist can travel 29.6 miles in 2 hours. At this rate how many gallons will it need to travel 650 miles.
A: 14.8
B: 22.2
C: 11.1
D: 16.2
To solve this problem, we need to calculate the number of gallons required to travel 650 miles at the given rate.
First, we need to find the rate of the cyclist in miles per hour. We can do this by dividing the total distance traveled by the total time taken.
The rate of the cyclist is 29.6 miles / 2 hours = 14.8 miles per hour.
Next, we need to calculate the number of gallons required to travel 650 miles at a rate of 14.8 miles per hour.
To find this, we need to know the fuel efficiency of the cyclist in miles per gallon. Let's assume that the cyclist's fuel efficiency is 20 miles per gallon.
To calculate the number of gallons required to travel 650 miles at a rate of 14.8 miles per hour, we divide the total distance by the fuel efficiency.
Number of gallons = (Total distance) / (Fuel efficiency)
= 650 miles / 20 miles per gallon
= 32.5 gallons
Therefore, the cyclist will need approximately 32.5 gallons to travel 650 miles.
None of the given answer choices match this solution, so the correct answer is not provided.
Please note that the actual fuel efficiency of a cyclist can vary based on factors such as terrain, wind conditions, and the cyclist's physical endurance.
A cyclist can travel 29.6 miles in 2 hours. At this rate, how far can the same cyclist travel in 45 minutes?
A: 14.8
B: 22.2
C: 11.1
D: 16.2
Cross multiply and solve for x.
29.6/120 = x/45