In lowest gear on a 10-speed bike, each turn of the pedals makes the wheels turn 3.4 times. In the highest gear, each turn of the pedals makes the wheels turn 1.8 times. With each turn of the wheels, the bike travels 6.5 feet. How much farther does the bike travel with each turn of the pedals in lowest gear than in highest gear?
distance covered in "low" gear = 3.4(6.5) = 22.1 ft
distance covered in "high" gear = 1.8(6.5) = 11.7
Find the difference in their distances.
To find out how much farther the bike travels with each turn of the pedals in lowest gear compared to highest gear, we need to calculate the distance traveled in each gear.
Let's start with lowest gear. In lowest gear, each turn of the pedals makes the wheels turn 3.4 times, and with each turn of the wheels, the bike travels 6.5 feet.
Distance traveled in lowest gear = Number of wheel turns in lowest gear * Distance traveled with each wheel turn in lowest gear
Distance traveled in lowest gear = 3.4 * 6.5
Distance traveled in lowest gear = 22.1 feet
Now let's calculate the distance traveled in highest gear. In highest gear, each turn of the pedals makes the wheels turn 1.8 times, and with each turn of the wheels, the bike travels 6.5 feet.
Distance traveled in highest gear = Number of wheel turns in highest gear * Distance traveled with each wheel turn in highest gear
Distance traveled in highest gear = 1.8 * 6.5
Distance traveled in highest gear = 11.7 feet
To find out how much farther the bike travels with each turn of the pedals in lowest gear compared to highest gear, we subtract the distance traveled in highest gear from the distance traveled in lowest gear.
Difference in distance traveled = Distance traveled in lowest gear - Distance traveled in highest gear
Difference in distance traveled = 22.1 - 11.7
Difference in distance traveled = 10.4 feet
Therefore, the bike travels 10.4 feet farther with each turn of the pedals in lowest gear compared to highest gear.
To find out how much farther the bike travels with each turn of the pedals in the lowest gear compared to the highest gear, we need to determine the distance traveled with each turn of the pedals in each gear and then find the difference between the two distances.
First, let's calculate the distance traveled with each turn of the pedals in the lowest gear.
In the lowest gear, each turn of the pedals makes the wheels turn 3.4 times. And with each turn of the wheels, the bike travels 6.5 feet.
Therefore, with each turn of the pedals in the lowest gear, the bike travels:
Distance in lowest gear = 3.4 turns * 1 turn of the wheels * 6.5 feet = 22.1 feet
Now, let's calculate the distance traveled with each turn of the pedals in the highest gear.
In the highest gear, each turn of the pedals makes the wheels turn 1.8 times. And with each turn of the wheels, the bike travels 6.5 feet.
Therefore, with each turn of the pedals in the highest gear, the bike travels:
Distance in highest gear = 1.8 turns * 1 turn of the wheels * 6.5 feet = 11.7 feet
Now, let's find the difference between the two distances:
Difference = Distance in lowest gear - Distance in highest gear
Difference = 22.1 feet - 11.7 feet = 10.4 feet
Therefore, the bike travels 10.4 feet farther with each turn of the pedals in the lowest gear compared to the highest gear.