Kappu & Chandu have their speed in ratio 5:6. If both start from 2 points 110 kms away towards each other. How much distance Chandu had travelled more than Kappu when they meet for first time? (both start at same time)

Options

A. 11 kms
B. 20 kms
C. 10 kms
D. Cannot be determined

Answer

To solve the problem step by step, we will follow these steps:

### Step 1: Understand the speed ratio
Kappu and Chandu have their speeds in the ratio of 5:6. This means if Kappu's speed is 5x, then Chandu's speed is 6x, where x is a common multiplier.

**Hint:** Remember that the ratio of speeds can help us determine the ratio of distances traveled when time is the same.

### Step 2: Calculate the total distance
The total distance between Kappu and Chandu is given as 110 kilometers.

**Hint:** Keep in mind that both Kappu and Chandu are moving towards each other, so their combined distances will equal the total distance.

### Step 3: Determine the total parts of the ratio
The total parts of the speed ratio (5 + 6) is 11 parts. This means that when they meet, the total distance of 110 km will be divided into 11 parts.

**Hint:** The total distance can be divided into parts based on the ratio of their speeds.

### Step 4: Calculate the value of one part
To find the value of one part, divide the total distance by the total parts:
\[ \text{Value of one part} = \frac{110 \text{ km}}{11} = 10 \text{ km} \]

**Hint:** This value represents how much distance corresponds to one part of the speed ratio.

### Step 5: Calculate the distance traveled by each person
Now, we can calculate the distance traveled by Kappu and Chandu:
- Distance traveled by Kappu = 5 parts = \(5 \times 10 \text{ km} = 50 \text{ km}\)
- Distance traveled by Chandu = 6 parts = \(6 \times 10 \text{ km} = 60 \text{ km}\)

**Hint:** Use the number of parts each person travels to find the actual distance.

### Step 6: Find the difference in distance traveled
To find out how much more distance Chandu traveled compared to Kappu, subtract the distance traveled by Kappu from the distance traveled by Chandu:
\[ \text{Difference} = 60 \text{ km} - 50 \text{ km} = 10 \text{ km} \]

**Hint:** This step gives you the answer to how much more distance one person traveled compared to the other.

### Final Answer
Chandu traveled 10 kilometers more than Kappu when they met for the first time.

**Conclusion:** The correct option is 10 kilometers.

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