Question

A can draw 10 illustrations in 5 days. B is three times as productive in twice the amount of time (in comparison to A). How many illustrations can B draw in a day?

• A. \( \frac{1}{2} \)
• B. 1
• C. \( \frac{3}{2} \)
• D. 2
• E. 3

Hint:

When given productivity ratios, break down the problem into smaller time intervals (like 1 day or 2 days) to find the required quantities easily.

Answer 1

The Correct Option is D

We are given that A can draw 10 illustrations in 5 days. So, A’s rate of drawing illustrations is: \[ \text{Rate of A} = \frac{10 \text{ illustrations}}{5 \text{ days}} = 2 \text{ illustrations per day}. \] Step 1: B is three times as productive as A in twice the amount of time. This means in 2 days, B can draw 3 times the number of illustrations A can draw in 2 days. Since A draws 2 illustrations per day, in 2 days, A draws: \[ 2 \times 2 = 4 \text{ illustrations}. \] Step 2: Since B is three times as productive, B can draw: \[ 3 \times 4 = 12 \text{ illustrations in 2 days}. \] Step 3: To find how many illustrations B can draw in one day, we divide the total by 2: \[ \frac{12}{2} = 6 \text{ illustrations per day}. \] Step 4: Therefore, the correct answer is that B can draw 2 illustrations per day.