if jasper installs a floor himself, it will take him 7 hours. working with yolanda, it will take them 3…

if jasper installs a floor himself, it will take him 7 hours. working with yolanda, it will take them 3 hours. if they work together, what is the missing value in the table that represents the part of the floor jasper will install?\n| | rate (part/hour) | time (hours) | part of floor installed |\n|--|--|--|--|\n| jasper | $\frac{1}{7}$ | 3 |? |\n| yolanda | $r$ | 3 | $3r$ |\n$\frac{1}{7}(3)$\n$\frac{1}{7}r$\n$7r$\n$7(3)$

if jasper installs a floor himself, it will take him 7 hours. working with yolanda, it will take them 3 hours. if they work together, what is the missing value in the table that represents the part of the floor jasper will install?\n| | rate (part/hour) | time (hours) | part of floor installed |\n|--|--|--|--|\n| jasper | $\frac{1}{7}$ | 3 |? |\n| yolanda | $r$ | 3 | $3r$ |\n$\frac{1}{7}(3)$\n$\frac{1}{7}r$\n$7r$\n$7(3)$

Answer

Explanation:

Step1: Recall work - rate formula

The formula for work is $Work = Rate\times Time$.

Step2: Identify Jasper's rate and time

Jasper's rate of work is $\frac{1}{7}$ part of the floor per hour and the time he works is 3 hours.

Step3: Calculate the part of the floor Jasper installs

Using the formula $Work = Rate\times Time$, we substitute the values: $Work=\frac{1}{7}\times3=\frac{1}{7}(3)$.

Answer:

$\frac{1}{7}(3)$