Final answer:
The boy did not pick any bananas during the hour and rested the whole time.
Step-by-step explanation:
Let's assume that the boy picks x bananas in one hour. Since the man picks twice as many bananas as the boy, he picks 2x bananas in one hour.
Together, they pick x + 2x = 3x bananas in one hour.
Given that the man has picked 3/4 of the bananas, we can set up the equation:
3/4 = 3x / (x + 2x)
Now we can solve for x to find out how many bananas the boy picked. Multiplying both sides of the equation by (x + 2x) gives us:
3/4 * (3x + 2x) = 3x
9x + 6x = 12x = 3/4 * 3x
15x = 9x
6x = 0
x = 0
Since x = 0, it means the boy did not pick any bananas. Therefore, he did not pick any bananas during the hour and rested the whole time.