The total interest earned after one year when Php 100 000 is invested, part of 6% annual interest rate and the remaining part at 7.5% annual interest rate
4. The distance travelled by a man driving at the rate of 60 kph
5. The total distance travelled by a boat 1 hour upstream and 30 minutes downstream in

It seems like you're asking for solutions to several different problems. I'll break down each question and provide the solutions:

### 1. Interest Earned After One Year
You have Php 100,000 invested in two parts: one part at 6% annual interest and the remaining part at 7.5% annual interest. Let's assume the first part is \( x \) and the second part is \( 100,000 - x \).

- Interest from the first part: \( 0.06 \times x \)
- Interest from the second part: \( 0.075 \times (100,000 - x) \)

The total interest earned after one year is the sum of these two:

\[
\text{Total Interest} = 0.06x + 0.075(100,000 - x)
\]

### 2. Distance Travelled by a Man Driving at 60 kph
To determine the distance, we need the time. The distance \( D \) travelled can be calculated using the formula:

\[
D = \text{Speed} \times \text{Time} = 60 \text{ kph} \times \text{Time}
\]

Without knowing the time, the distance cannot be determined.

### 3. Total Distance Travelled by a Boat
To solve this, we need to consider two scenarios:
- **Upstream:** The boat travels against the current.
- **Downstream:** The boat travels with the current.

The distance travelled can be calculated using the formula:

\[
D = \text{Speed} \times \text{Time}
\]

Let’s denote the speed of the boat in still water as \( b \) and the speed of the current as \( c \).

- **Upstream:** \( D_{\text{up}} = (b - c) \times 1 \text{ hour} \)
- **Downstream:** \( D_{\text{down}} = (b + c) \times 0.5 \text{ hours} \)

The total distance travelled by the boat is the sum of the upstream and downstream distances:

\[
D_{\text{total}} = D_{\text{up}} + D_{\text{down}}
\]

### Solutions

1. For the **Interest** problem:
   - Simplify and solve the total interest formula if needed, given \( x \).

2. For the **Distance by the Man**, more information (time) is needed.

3. For the **Boat’s Total Distance**, you need to know the boat’s speed in still water and the speed of the current to calculate the exact distance.

Would you like detailed calculations for any of these problems, or do you need any clarifications? 

### Further Related Questions:

1. How much interest is earned if Php 40,000 is invested at 6% and the remaining at 7.5%?
2. How long would it take for a man driving at 60 kph to travel 300 km?
3. If the speed of the current is 5 kph and the boat's speed is 20 kph in still water, what is the total distance travelled?
4. How does the interest change if the entire Php 100,000 is invested at 7.5%?
5. What is the distance covered by the man if he drives for 2.5 hours at 60 kph?

### Tip:
For investment problems, understanding how to allocate funds and calculate the interest for different parts is crucial in maximizing earnings.

Explore how to calculate interest earned on investments with different rates and distances traveled at varying speeds. This page provides step-by-step solutions and formulas for interest calculation and speed-distance-time problems.

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