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Phan Thanh Tinh Coordinator

25/07/2017 at 21:02
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A level road of length 16 km links A to B.From B,the road goes uphill to C. Kelly and Kerry both ride their bikes at 8 km/h on level roads,5 km/h uphill and 10 km/h downhill.Kelly goes from A to C.Kerry goes from C to A.They meet at a point on the level road 4 km from B.They continue to their respective destinations and turn around immediately.Where will they meet the second time ?




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    Nguyễn Thế Hiển 11/08/2017 at 16:30

    They will meet each character at B

    First they met at 4km away from B \(\rightarrow\) it took 1h30m to go 'cause on level roads Kelly went at 8km/h and Kelly had gone 16 - 4 = 12 km and 12km : 8km/h = ​1.5h ​\(\rightarrow\) 90m.

    Kerry also went the 4km left and it takes 30m too. So the time Kerry had spent was 1h30m - 30m = 1h and the length of B to C is: 10km/h x 1 = 10 (km) 

    Then they are continuing to their respective destinations, Kerry go to A and turn around takes : 12km : 8km/h = 1.5h\(\rightarrow\) 90m. Kelly go to B takes: 4km : 8km/h = 0,5h \(\rightarrow\)30m, Kelly go to C takes: 10km : 5km/h = 2h. At that time Kerry has gone half way to B. Kelly turn around and go back, it take 1 hour for Kelly to go down = 10km : 10km/h = 1h. So Kerry will go to B right on Kelly go to B 'cause 8km : 8km/h = 1h 


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