document.write( "Question 1091624: Ramesh and Narendra start from the same place and arrive at another place in 40 minutes and 60 minutes respectively.
\n" ); document.write( "If Narendra starts 10 minute earlier than Ramesh, how much time Ramesh will take to reach Narendra.
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Algebra.Com's Answer #706090 by MathTherapy(10552)\"\" \"About 
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Ramesh and Narendra start from the same place and arrive at another place in 40 minutes and 60 minutes respectively.
\n" ); document.write( "If Narendra starts 10 minute earlier than Ramesh, how much time Ramesh will take to reach Narendra.
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Let distance traveled to \"another place,\" be D
\n" ); document.write( "Then Ramesh’s speed = \"D%2F%2840%2F60%29\", or \"3D%2F2\"
\n" ); document.write( "Also, Narendra’s speed = \"D%2F%2860%2F60%29\", or D\r
\n" ); document.write( "\n" ); document.write( "Let time it takes Ramesh to reach Narendra (get to catch-up point), be T
\n" ); document.write( "Then Narendra’s time to get to catch-up point = \"T+%2B+10%2F60\", or \"T+%2B+1%2F6\"
\n" ); document.write( "We then get the following DISTANCE equation: \"%283D%2F2%29+%2A+T+=+D+%2A+%28T+%2B+1%2F6%29\"
\n" ); document.write( "\"3DT%2F2+=+DT+%2B+D%2F6\"
\n" ); document.write( "9DT = 6DT + D -------- Multiplying by LCD, 6
\n" ); document.write( "9DT – 6DT = D
\n" ); document.write( "3DT = D
\n" ); document.write( "T, or time Ramesh takes to catch up to Narendra, if Narendra leaves 10 minutes before Ramesh =
\n" ); document.write( "****Note: You failed to mention that when they left the SAME PLACE, they did so at the SAME TIME.
\n" ); document.write( "So, it should be:: Ramesh and Narendra start from the same place AT THE SAME TIME and arrive at another place in 40 minutes and 60 minutes respectively.\r
\n" ); document.write( "\n" ); document.write( "I don't have to, because I already read it. English is my 1st language and I've been learning, speaking, and writing it for 30+ years now. I do understand
\n" ); document.write( "English quite well, and for the most part am able to understand, decipher, and sometimes even correct others on math problems. I did the problem the way I
\n" ); document.write( "understand it, and unless someone can prove to me that I misinterpreted the question that was asked, I stand by my answer, 100%.\r
\n" ); document.write( "\n" ); document.write( "Yes, Narendra starts 10 minutes before Ramesh, and gets to the catch up point in 30 minutes, while Ramesh takes 20 (30 - 10) minutes to get to the catch-point.
\n" ); document.write( "What I'll do is use REAL numbers to illustrate this!\r
\n" ); document.write( "\n" ); document.write( "Let Narendra's speed be 50 kmh
\n" ); document.write( "Then Ramesh's is 1.5(50), or 75 kmh (Ramesh speed is \"1%261%2F2\" of Narendra's)
\n" ); document.write( "In 60 minutes, or 1 hour Narendra completed the trip, and so the distance = 50(1), or 50 km
\n" ); document.write( "In 40 minutes, or \"40%2F60\", or \"2%2F3\" hr, Ramesh completed \"75+%2A+%282%2F3%29\" = 50 km
\n" ); document.write( "Note that that was what was given (The faster Ramesh completed the trip, in 20 minutes less time than Narendra)
\n" ); document.write( "This makes sense, since Narendra CAN NEVER catch-up with Ramesh when they leave at the same time. But, if Narendra leaves 10 minutes before Ramesh, then they will meet at some point.\r
\n" ); document.write( "\n" ); document.write( "Now, 10 minutes after leaving, Narendra will have traveled: \"matrix%281%2C6%2C+50%2810%2F60%29%2C+%22=%22%2C+50%281%2F6%29%2C+%22=%22%2C+25%2F3%2C+km%29\"
\n" ); document.write( "At this time, Ramesh leaves, and Narendra will be \"25%2F3\" km ahead of Ramesh
\n" ); document.write( "Therefore, 20 minutes after this, Narendra will have traveled another: \"matrix%281%2C6%2C+50%2820%2F60%29%2C+%22=%22%2C+50%281%2F3%29%2C+%22=%22%2C+50%2F3%2C+km%29\"
\n" ); document.write( "Therefore Narendra will have traveled a total of: \"matrix%281%2C6%2C+25%2F3+%2B+50%2F3%2C+%22=%22%2C+75%2F3%2C+%22=%22%2C+25%2C+km%29\"
\n" ); document.write( "In the meantime, during the 20 minutes that have elapsed since Ramesh left, Ramesh will have covered
\n" ); document.write( "As seen, 30 minutes after Narendra left, she covered 25 km, and 20 minutes after Ramesh left, he also covered 25 km. The 25 km is the catch-up point. \n" ); document.write( "
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