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Answer = 273
- vijay.bits February 07, 2012Let x, y, z and d be the distance of the uphill, plain, downhill, and total distance, respectively, where uphill and downhill are viewed as coming from A to B. You get 3 equations that summarize all the data :
x + y + z = d
x/72 + y/64 + z/56 = 4
x/56 + y/64 + z/72 = 4 and 2/3
Though we have only 2 equations for 3 variables, we can still solve this as we need to find (x+y+z) and not x,y,z individually.
Solving equation 2 and 3 above, we get
7x+8y+9z = 4*504 = 7 (x+y+z) + y + 2z
9x+8y+7z = 14*504/3= 9 (x+y+z) - y - 2z
Adding the above 2 equations, we get
16 (x+y+z) = 4368
Hence d = (x+y+z) = 4368/16 = 273