Question 1097585
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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)
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First condition,        "<U>If both start at 10 am they will meet at 3 pm.</U>" means that

5x + 5y = 960  kilometers   (1)   (they cover the distance in 5 hours, from 10 am to 3 pm)



The second condition    "<U>If Murray starts at 6 am and Mary starts at 10 am they will meet at noon.</U>"  means

6x + 2y = 960               (2)   (Murray is on the way during 6 hours, while Mary is on the way only 2 hour before they meet each other)



So, you have this system of 2 equations in 2 unknown

5x + 5y = 960,   
6x + 2y = 960,

which you can easily solve by any method.
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