The distance between points P and Q is 485 km. If a person starts from point P with the speed of 60 km/h and another person is running with a certain speed from point Q and they both meet after 2.5 hours then find the speed of the person who starts from point Q

Options

A. 140 km/h
B. 126 km/h
C. 156 km/h
D. 134 km/h

Answer

To find the speed of the person who starts from point Q, we can follow these steps:

### Step 1: Understand the Problem
We have two points, P and Q, with a distance of 485 km between them. One person starts from point P at a speed of 60 km/h, while another person starts from point Q at an unknown speed. They meet after 2.5 hours.

### Step 2: Calculate the Distance Covered by the Person from Point P
The distance covered by the person starting from point P can be calculated using the formula:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
For the person at point P:
\[ \text{Distance from P} = 60 \text{ km/h} \times 2.5 \text{ hours} = 150 \text{ km} \]

### Step 3: Calculate the Remaining Distance
Since the total distance between P and Q is 485 km, we can find the distance covered by the person from point Q:
\[ \text{Distance from Q} = \text{Total Distance} - \text{Distance from P} \]
\[ \text{Distance from Q} = 485 \text{ km} - 150 \text{ km} = 335 \text{ km} \]

### Step 4: Calculate the Speed of the Person from Point Q
Now, we can find the speed of the person from point Q using the distance they covered and the time taken:
\[ \text{Speed of Q} = \frac{\text{Distance from Q}}{\text{Time}} \]
\[ \text{Speed of Q} = \frac{335 \text{ km}}{2.5 \text{ hours}} \]

### Step 5: Perform the Calculation
Calculating the speed:
\[ \text{Speed of Q} = 335 \div 2.5 = 134 \text{ km/h} \]

### Conclusion
The speed of the person who starts from point Q is **134 km/h**.

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