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kanta
Junior Member

Pakistan
6 Posts

 Posted - 04/09/2012 :  14:06:31 Sophia sets off on a walk at a speed of 6 km/h.ten minutes later,her brother Danish sets off after her on his bicycle at 15 km/h. How far must Danish go to catch up with sophia?

the_hill1962

USA
1469 Posts

kanta
Junior Member

Pakistan
6 Posts

kanta
Junior Member

Pakistan
6 Posts

 Posted - 04/21/2012 :  04:28:24 hello dear.The time is given 10 minutes and you have solved the problem with 15 minutes.

TchrWill

USA
80 Posts

 Posted - 04/23/2012 :  09:58:38 Originally posted by kanta[/i]Sophia sets off on a walk at a speed of 6 km/h.ten minutes later,her brother Danish sets off after her on his bicycle at 15 km/h. How far must Danish go to catch up with Sophia?Alternatively1--Sophia walks 10 minutes reaching 10(6)/60 = 1km from the starting point.2--Danish starts out at 15km/hr 1km away from Sophia3--Danish closes in on Sophia at the rate of (15-6) = 9km/hr.4--Danish reaches Sophia in t = 1/9 = .111..hr or 6min-40sec.5--Danish overtakes Sophia after riding d = 15(1/9) = 1.666...km.
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