document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164919>Question 1164919</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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.?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #853503 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=853503\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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.\r<BR>\n" );
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document.write( "### 1. Visualize the Initial Scenario\r<BR>\n" );
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document.write( "At 8:30 am, the cars are positioned such that the distance between P and Q is 300 km.\r<BR>\n" );
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document.write( "* **Car P** starts at point A and moves toward Q at **60 km/h**.<BR>\n" );
document.write( "* **Car Q** moves toward point A (and thus toward P) at an unknown speed, .\r<BR>\n" );
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document.write( "### 2. Find the Speed of Car Q ()\r<BR>\n" );
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document.write( "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.\r<BR>\n" );
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document.write( "* **Time taken to meet:** From 8:30 am to 11:30 am is **3 hours**.<BR>\n" );
document.write( "* **Initial distance:** 300 km.\r<BR>\n" );
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document.write( "Using the formula :\r<BR>\n" );
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document.write( "So, the speed of car Q is **40 km/h**.\r<BR>\n" );
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document.write( "---\r<BR>\n" );
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document.write( "### 3. Calculate the Distance Traveled by Q between the two meetings\r<BR>\n" );
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document.write( "The problem asks how much **further** car Q traveled from the moment it met car P until it met car R.\r<BR>\n" );
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document.write( "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:\r<BR>\n" );
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document.write( "* **Speed of Q:** 40 km/h<BR>\n" );
document.write( "* **Time interval:** 0.5 hours\r<BR>\n" );
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document.write( "**Car Q traveled 20 km further from the meeting with car P before meeting with car R.**\r<BR>\n" );
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document.write( "---\r<BR>\n" );
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document.write( "### Note on Car R\r<BR>\n" );
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document.write( "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.\r<BR>\n" );
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document.write( "Would you like me to calculate the speed of car R or determine where exactly the cars met relative to Point A? </SPAN>\n" );
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