In a basket the apples becomes double of itself after each minute. In 40 minutes the basket fill completely, then in how much time the basket is filled 1 / 8 of the total?

Options

A. 35 minute
B. 36 minutes
C. 37 minutes
D. 38 minutes

Answer

To solve the problem step by step, we can follow this reasoning:

### Step 1: Understand the Doubling Process
The problem states that the apples in the basket double in quantity every minute. This means that if we know the quantity at any given minute, we can find the quantity at the previous minute by halving it.

### Step 2: Determine the Full Capacity
We know that the basket is completely full after 40 minutes. Therefore, at 40 minutes, the basket is at its full capacity.

### Step 3: Calculate the Quantity at Previous Minutes
Since the apples double every minute, we can work backwards to find out how much of the basket is filled at earlier minutes:
- At 40 minutes: Full (1)
- At 39 minutes: Half (1/2)
- At 38 minutes: One quarter (1/4)
- At 37 minutes: One eighth (1/8)

### Step 4: Answer the Question
The question asks how much time it takes for the basket to be filled to 1/8 of its total capacity. From our calculations:
- The basket is filled to 1/8 of its total capacity at 37 minutes.

### Conclusion
Thus, the answer to the question is that the basket is filled to 1/8 of its total capacity in **37 minutes**.

---