Question 936252
x = distance from home to work
a = driving time home to work
b = driving time work to home
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s = d/t
t = d/s
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driving time home to work:
a = x/30
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driving time work to home:
b = x/25
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total time:
a + b = 1 + 6/60
a + b = 1.1
x/30 + x/25 = 1.1
25x/(25*30) + 30x/(25*30) = 1.1
25x + 30x = 1.1*(25*30)
55x = 1.1*(25*30)
x = 1.1*(25*30)/55
x = 15
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answer:
x = distance from home to work = 15 miles
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