Question 1164919: Three cars P,Q and R were traveling at a uniform speed. Car P and R started from same location point A and were traveling towards car Q. Car Q was heading towards point A. The three cars were 300km apart at 8.30am. Car Q passed car P at 11.30 am. Car Q then passed car R half an hour later. If the speed of the car P was 60 km/h, how much further did car Q travel from the meeting with car P before meeting with car R.??
Answer by CPhill(2189)   (Show Source):
You can put this solution on YOUR website! To solve this problem, we need to determine the speed of car Q first, and then calculate the distance it traveled during the 30-minute interval between passing car P and car R.
### 1. Visualize the Initial Scenario
At 8:30 am, the cars are positioned such that the distance between P and Q is 300 km.
* **Car P** starts at point A and moves toward Q at **60 km/h**.
* **Car Q** moves toward point A (and thus toward P) at an unknown speed, .
### 2. Find the Speed of Car Q ()
The two cars (P and Q) are moving toward each other. In physics, when two objects move toward each other, their **relative speed** is the sum of their individual speeds.
* **Time taken to meet:** From 8:30 am to 11:30 am is **3 hours**.
* **Initial distance:** 300 km.
Using the formula :
So, the speed of car Q is **40 km/h**.
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### 3. Calculate the Distance Traveled by Q between the two meetings
The problem asks how much **further** car Q traveled from the moment it met car P until it met car R.
We are given that car Q met car R **half an hour** (0.5 hours) after meeting car P. Since we now know the uniform speed of car Q, we can calculate this specific distance:
* **Speed of Q:** 40 km/h
* **Time interval:** 0.5 hours
**Car Q traveled 20 km further from the meeting with car P before meeting with car R.**
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### Note on Car R
While we don't need the speed of car R to answer this specific question, we can deduce it if needed. Since car R started at Point A at 8:30 am and met Q at 12:00 pm (3.5 hours later), and Q had traveled from its starting point, car R must have covered the remaining in those 3.5 hours.
Would you like me to calculate the speed of car R or determine where exactly the cars met relative to Point A?
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