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May 16th, 2015, 07:07 PM  #1 
Newbie Joined: Apr 2015 From: agra Posts: 7 Thanks: 0  Time and Distance
I want to know the solution bcz my answer is 3km per hour

May 16th, 2015, 07:36 PM  #2 
Senior Member Joined: Apr 2014 From: Europa Posts: 575 Thanks: 176  
May 16th, 2015, 07:45 PM  #3 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,913 Thanks: 1113 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, 06:26 AM  #4 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 896 
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 06:38 AM. 
May 18th, 2015, 03:05 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 74 that is 3 km /hour. This means you are absolutely right. Well done.


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