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May 16th, 2015, 06:07 PM   #1
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From: agra

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Time and Distance

I want to know the solution bcz my answer is 3km per hour
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May 16th, 2015, 06:36 PM   #2
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Quote:

I think even so .

 May 16th, 2015, 06:45 PM #3 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,933 Thanks: 1128 Math Focus: Elementary mathematics and beyond After 6 hours, Anita has travelled 24 km. 42 - 24 = 18 and 18/6 = 3, so Romita travelled at 3 km per hour.
 May 17th, 2015, 05:26 AM #4 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 This is confused by a typographical error- "Romita starts from S to R also with same uniform speed". Grammatically, that means that Romita must have the same speed as Anita, 4 km/h. What is clearly intended is "some uniform speed" (and "constant speed" would be better than "uniform speed"). Taking Romilda's speed to be "r" km/hr, her speed relative to Anita is r+ 4. Working with "relative" speed, we can treat Anita as if she were standing still. Romilda will cover the 42 km initially between them in 42/(r + 4) hours. We are told that she covered it in 6 hours. Solve 42/(r + 4) = 6 for r. Last edited by skipjack; May 17th, 2015 at 05:38 AM.
 May 18th, 2015, 02:05 AM #5 Senior Member   Joined: May 2015 From: Varanasi Posts: 110 Thanks: 5 Math Focus: Calculus Yes of cource 3 is the correct answer.This is the explanation if time taken where they met is 6 hours this means the relative velocity between them must be 42/6 that is 7 hours.As they are travelling in opposite direction so if one speed is 4 other's should be 7-4 that is 3 km /hour. This means you are absolutely right. Well done.

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the distance between R and S is 42 km

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