Question

The bathroom is 100 meters away, and you can only walk at 2 m/s. How much time will it take you to reach the bathroom?

A: 200 sec
B: 50 sec
C: 100 sec
D: 20 sec

Answer 1

50 seconds.

Step-by-step explanation:

See attached photo.

This question can be solved by simply setting up cross-multiplication and understanding metrics.

Given Information

• The bathroom is 100 meters away.

• One can only walk at 2 meters per second.

Set up the Cross-Multiplication

• To cross-multiply fractions, we multiply the numerator of the first fraction with the denominator of the second fraction and the numerator of the second fraction with the denominator of the first fraction.

• So essentially we can ask the question like this:

• If it takes one second to walk 2 meters, how many seconds will it take to walk 100 meters?
• The inequality can be set up like this:
• 
  `(2meters)/(100 seconds) = (1 second)/(x seconds)`
• 2 meters equals 1 second and 100 meters will be equal to x seconds because that's what we want to find.
• We will use an x to represent the unknown amount of seconds:

1. Multiply the meters and seconds on each side.
   `(2 meters)(x seconds) = (100 meters) (1 second)`
2. Because the unknown amount of seconds is multiplied by 2 meters on the left-hand side, divide both sides by 2 meters.
   `((2 meters)(xseconds))/((2 meters)) = ((100 meters)(1seconds))/((2 meters))`
3. Once 100 meters are divided by 2 meters, we are left with 50 seconds.

Please see the image attached and let me know if this helped!!!