Question

three students can wash a car in 16 minutes. If the time varies inversely with the number of students washing the car, how many minutes will it take two students to complete the job?


a. 20
b22
c.24
d. 32/3

Answer 1

Since we know that time and number of students vary inversely we can have a general formula of $y = \frac{k}{x}$.  Rearrange the equation to solve for x to get $k = y * x$.

In this case y = 16 and x = 3.  So that k = 16 * 3 and k = 48 then.

Now we can us the 48 in the original equation to get:
$y = \frac{48}{x}$
Plugging in 2 for x we get:
$y = \frac{48}{2} = 24 min$ or C

Answer 2

The number of  minutes it will take two students to complete the job is: c 24 minutes.

First step is to calculate the total minutes it takes the three students to wash a car

Total  minutes=16 minutes×3 students

Total minutes=48 minutes

Second step is to calculate how many minutes will it take two students to complete the job

Number of minutes=48 minutes/2 students

Number of minutes=24 minutes

Inconclusion the number of  minutes it will take two students to complete the job is 24 minutes.

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