Question

egon can complete a project in 7 hours. tariq can complete the same project in 5 hours. complete the table that can be used to determine the time it will take egon and tariq to finish the project if they start working together. enter your answers in the boxes.

	rate (part/h)	time (h)	part of project completed
tariq	\\(\frac{1}{5}\\)	\\(t\\)	\\(\square\\)

Explanation:

Step1: Find Egon's rate

Egon completes the project in 7 hours, so his rate is $\frac{1}{7}$ part per hour.

Step2: Find part completed by Egon

Rate × Time = Part of Project Completed. So Egon's part is $\frac{1}{7} \times t = \frac{t}{7}$.

Step3: Find part completed by Tariq

Tariq's rate is $\frac{1}{5}$ part per hour, and time is $t$, so his part is $\frac{1}{5} \times t = \frac{t}{5}$.

Answer:

For Egon's rate: $\frac{1}{7}$
For Egon's part of project completed: $\frac{t}{7}$
For Tariq's part of project completed: $\frac{t}{5}$

(In the table, Egon's rate box: $\frac{1}{7}$, Egon's part box: $\frac{t}{7}$, Tariq's part box: $\frac{t}{5}$)