Wednesday, September 15, 2010

Speed P6

At 0800, Noel left Town A for Town B while Jane left Town B for Town A. At 1600 their cars passed each other. 5 h later Jane reached Town A but Noel was 240 km away from Town B.
(a) How long after they started would the two drivers passed each other?
(b) Find the distance between the two towns.
 
 
         8 h
    |---------------|
0800              1600
 
a) It was 8 h.
 
 
N [  ][  ][  ][  ][  ][  ][  ][  ][  ][  ][  ][  ][  ]  units [8 u : 5 u]
J  [  240 km        ][][][][][][] [][][][][][] []  parts [240 + 5 p : 8 p]
 
5 x (5 p + 240) --> 8 x 8 p
64 p - 25 p --> 1200
39 p --> 1200
 
13 p --> 13/39 x 1200 = 400

400 + 240 = 640 km

b) It was 640 km.

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