Gears
The front gear on the bike has 32 teeth and the rear, on the wheel, has 12 teeth. How many times does the bike's rear-wheel turn if you turn the right pedal 30 times? What distance will you go if the circumference of the bicycle wheel is 250 cm?
Correct answer:

Tips for related online calculators
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
Check out our ratio calculator.
Do you want to convert length units?
Check out our ratio calculator.
Do you want to convert length units?
You need to know the following knowledge to solve this word math problem:
- planimetrics
- circle
- perimeter
- basic functions
- ratio
- inverse relationship
- simple proportion
- numbers
- fractions
Units of physical quantities:
Themes, topics:
Grade of the word problem:
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- Bicycle
The bicycle pedal gear has 36 teeth, and the rear gear wheel has ten teeth. How many times does turn the rear wheel when the pedal wheel turns 120x?
- Bicycle gear
The pedal bicycle wheel has 56 teeth and a rear 20 gear tooth. How many times does the bicycle wheel turn when you make 20 turns of the pedal wheel?
- Bicycle gears
The toothed wheel on the bicycle pedal has 40 teeth, the wheel on the rear wheel has only 16 teeth. How many times does the rear wheel turn if the pedals rotate 50 times?
- Bike wheel
The bike wheel has a radius of 30cm. How many times does it turn if we go on a 471m bike?
- Velocipedes
In the 19th century, bicycles did not have a chain drive, and the wheel axis connected the pedals directly. This wheel diameter gradually increased until the so-called high bikes (velocipedes) with a front-wheel diameter of up to 1.5 meters, while the rea
- Two gears
The two gears fit together. The larger gear has 32 teeth. The smaller gear has 20 teeth less. How many times does turn a smaller gear if the bigger gear turns three times?
- Tractor's 7352
The tractor's rear wheels have a diameter of 1.25 m, and the front wheels have a diameter of 55 cm. What is its speed? How many times does each wheel turn on a 1.5 km track?
- The bike
The bike has a wheel circumference of 2 1/4 m. How long will it take to turn 100 times?
- Diameter 23831
How many times does a bicycle wheel with a diameter of 50 cm turn on a route 10 km long? The result round to an integer.
- Tractor wheels
The front wheel of the tractor has a circumference of 18 dm and the rear 60 dm. We will make a red mark on the lowest point of both wheels. The tractor then starts. At what distance from the start will both marks appear identically at the bottom again?
- Smaller 17093
There are two gears in the wall clock. The larger wheel has 54 teeth, and the smaller 24 teeth. How many times does the small wheel turn if the big one turns four times?
- Biketrial
Kamil was biketrial. Before hill he set the forward gear with 42 teeth and the back with 35 teeth. After how many exercises (rotation) of the front wheel both wheels reach the same position?
- Smaller 4835
There are two gears in the wall clock. The larger wheel has 54 teeth, and the smaller 24 teeth. How many times does the small wheel turn if the big one turns four times?
- Radius 25211
The wheel has a radius of 31 cm. How many times does it turn if we ride 1,168 km?
- Bicycle wheels
The driving wheel of a bicycle has 54 teeth. The driven wheel has 22 teeth. After how many revolutions will meet the same teeth?
- Birthday 6277
Peter got a new bike for his birthday. His bike was equipped with many gears. How many gear options does Peter have if you have three wheels at the front and eight wheels at the back? List them all
- Motorcyclist 38781
The front wheel of the motorcycle turned 800 times while riding. What distance did the motorcyclist walk if the diameter of the front wheel is 50 cm?