Gears

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

Correct result:

n₂ =  80
s =  200 m

Solution:

$$\begin{gathered} s_1=s_2 \\ {n}_2\cdot 12=32\cdot 30 \\ {n}_2={\displaystyle \frac{32}{12}}\cdot 30=80 \end{gathered}$$

$$\begin{gathered} o=250\text{ cm}\to \text{ m}=250\mathrm{/}100\text{ m}=2.5\text{ m } \\ s=o\cdot n_2=2.5\cdot 80=200\text{ m} \end{gathered}$$

Try another example

Showing 0 comments:

Next similar math problems:

• Bicycle
  The bicycle pedal gear has 36 teeth, the rear gear wheel has 10 teeth. How many times turns rear wheel, when pedal wheel turns 120x?
• Wheels
  Small tractor wheel with a diameter of 60 cm must be rotated 8 times to overcome some pathway. How many times must turn the big tractor wheel with a radius 60 cm to overcome the same distance?
• Bicycle wheel
  A bicycle wheel has a diameter of 60 cm. Approximately how many times does wheel rotate at 2.5 km long trip?
• Mine
  Wheel in traction tower has a diameter 4 m. How many meters will perform an elevator cabin if wheel rotates in the same direction 89 times?
• Wheel
  What is the wheel diameter if on the 0.38 km track turns 128 times?
• Flowerbed
  In the park there is a large circular flowerbed with a diameter of 12 m. Jakub circulated him ten times and the smaller Vojtoseven times. How many meters each went by and how many meters did Jakub run more than Vojta?
• Feet to miles
  A student runs 2640 feet. If the student runs an additional 7920 feet, how many total miles does the student run?
• Answers
  After the history test, Michaella discovered that the ratio of her correct and incorrect answers is 5: 3. How many correct answers did Michaella have in the test, if she had 6 incorrect answers?
• Martha
  Martha likes to walk in the park, the park is square, 7/10 mi on each side. One morning Martha walked around the entire park 3 1/2 times before stopping to rest. How far had she walked?
• Marlon
  Marlon drew a scale drawing of a summer camp. In real life, the sand volleyball court is 8 meters wide. It is 4 centimeters wide in the drawing. What is the drawing's scale factor? Simplify your answer and write it as a ratio, using a colon.
• Ratio of counts
  There are 15 boys and 13 girls in the class. What are the ratio of boys and girls?
• Circumference - a simple
  What is the ratio of the circumference of any circle and its diameter? Write the result as a real number rounded to 2 decimal places.
• Circle
  What is the radius of the circle whose perimeter is 6 cm?
• Clock
  How long is trajectory of second hand of hours for day, if is 15 mm long?
• Base
  Base of building is circle with diameter 25 m. Calculate the circumference of a circular trench witch diameter is 41 cm wider than the diameter of the base.
• Tree trunk
  Calculate the average tree trunk with a circumference of 149 cm.
• Tree shadow 3
  What is the diameter of a tree around which is 3m 9dm 7cm long rope wrapped? How big is its cross-sectional area?