Question 1097585

Mary and Murray travel respectively at x and y km/h heading directly towards each other across a distance of 960 km. If both start at 10 am they will meet at 3 pm. If Murray starts at 6 am and Mary starts at 10 am they will meet at noon. Find (x,y)
<pre>5x + 5y = 960____5(x + y) = 5(192)______x + y = 192 ------- eq (i)
2x + 6y = 960____2(x + 3y) = 2(480)_____x + 3y = 480 ------ eq (ii)
2y = 288 ------- Subtracting eq (i) from eq (ii)
{{{highlight_green(matrix(1,9, "y,", or, "Murray's", speed, "=", 288/2, "=", 144, "km/h"))}}}
You should also get: {{{highlight_green(matrix(1,7, "x,", or, "Mary's", speed, "as:", 48, "km/h"))}}}