A bicycle travels 42 meters for every 20 revolutions of the wheel. How many revolutions would the wheel make in a kilometer?
42 meter = 0.042 kilometer
1*20/0.042 = 476 revolutions
To solve this problem, we first need to find the number of revolutions per meter and then multiply it by the number of meters in a kilometer.
Given that the bicycle travels 42 meters for every 20 revolutions, we can calculate the number of revolutions per meter by dividing the total number of revolutions by the total distance traveled:
Revolutions per meter = Total revolutions / Total distance
= 20 revolutions / 42 meters
Next, we need to convert the distance from meters to kilometers. There are 1,000 meters in a kilometer, so:
Total distance in kilometers = Total distance in meters / 1,000 meters
= 42 meters / 1,000 meters
Finally, to find the number of revolutions in a kilometer, we multiply the revolutions per meter by the total distance in kilometers:
Number of revolutions in a kilometer = Revolutions per meter x Total distance in kilometers
= (20 revolutions / 42 meters) x (42 meters / 1,000 meters)
Simplifying the equation further, we can cancel out the meters:
Number of revolutions in a kilometer = 20 revolutions / 1,000
= 0.02 revolutions
Therefore, the wheel would make 0.02 revolutions in a kilometer.