# SOLUTION: Need help for the following sum: A starts walking north from Point X at 7 a.m. with a speed of 5 km/hr. After 1 hr, B starts from the same point cycling towards the east with a

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 Question 486393: Need help for the following sum: A starts walking north from Point X at 7 a.m. with a speed of 5 km/hr. After 1 hr, B starts from the same point cycling towards the east with a speed of 16 km/hr. At what time will they be at a distance of 52 km from each other? ThanksAnswer by mananth(12270)   (Show Source): You can put this solution on YOUR website!A ---- North ---- 5 km/h B----- east ------16km/h (After 1 hour) let the time be t A distance 5t+5 B distance 16 t (5t+5)^2+(16t)^2=52^2 ( I have used x in place of t) 25t^2+50t+25+256t^2=52^2 281t^2+50t-2679 =0 Find the roots of the equation by quadratic formula a= 281 b= 50 c= -2679 b^2-4ac= 2500 - 3011196 b^2-4ac= 3013696 = 1736 x1=( -50 + 1736 )/ 562 x1= 3 3 x2=( -50 -1736 ) / 562 x2= -3.18 -3 1/6 Ignore negative value x = 3 hours m.ananth@hotmail.ca