Andrew can paint 2 walls in 6.5 hours. Tim can paint 3 walls in 8 hours. Compare the two proportional relationships.

Question

A. Tim paints at a faster rate because he paints one wall in 2 2/3 hours while Andrew paints one wall in 3.25 hours.
B. Andrew paints at a faster rate because he paints 1 wall in 3.25 hours while Tim paints 1 wall in 2 2/3 hours.
C. Tim paints at a faster rate because he paints at a rate of 0.375 while Andrew paints at a rate of 3.25.
D. Andrew paints at a faster rate because he paints at a rate of about 0.308 while Tim paints at a rate of 0.375.

Answer 1

To compare the two proportional relationships, we need to calculate the rate at which each person paints.

The rate at which Andrew paints is calculated by dividing the number of walls painted by the hours taken:
Andrew's rate = 2 walls / 6.5 hours = 0.308 walls per hour

The rate at which Tim paints is calculated the same way:
Tim's rate = 3 walls / 8 hours = 0.375 walls per hour

Comparing the rates, we can see that:
Andrew's rate = 0.308 walls per hour
Tim's rate = 0.375 walls per hour

Therefore, the correct answer is:
D. Andrew paints at a faster rate because he paints at a rate of about 0.308 while Tim paints at a rate of 0.375.