Final answer:
Brian can iron 120/81 shirts per hour at a constant rate. It takes 81/2 minutes to iron one complete shirt. The remaining time to iron the rest of the t-shirt is approximately 33/10 minutes. it would take Brian approximately 33/10 minutes to iron the rest of the t-shirt.
Step-by-step explanation:
To determine the number of shirts Brian can iron, we need to find the number of times he can complete one full shirt at a constant rate. Remember that Brian irons 2/9 of a shirt in 18/5 minutes.
To find the total time needed to iron one complete shirt (A), we can set up a proportion using the given information:
2/9 shirts / 18/5 minutes = 1 shirt / A minutes.
Solving this proportion, we get A = (18/5) / (2/9) = 81/2 minutes. Therefore, it takes Brian 81/2 minutes to iron one complete shirt.
To find the rate at which Brian irons shirts per minute (B), we can take the reciprocal of the time it takes to iron one complete shirt:
B = 1 / (81/2 minutes) = 2/81 shirts per minute.
To calculate the total number of shirts Brian can iron in one hour (C), we can multiply the rate at which he irons shirts per minute by the number of minutes in an hour:
C = (2/81 shirts per minute) * 60 minutes = 120/81 shirts per hour.
To estimate the remaining time to iron the rest of the t-shirt (D), we can subtract the time it took to iron 2/9 of the shirt (18/5 minutes) from the total time needed to iron one complete shirt (81/2 minutes):
D = (81/2 minutes) - (18/5 minutes) = 81/2 - 36/10 = 33/10 minutes. Therefore, it would take Brian approximately 33/10 minutes to iron the rest of the t-shirt.