Direction: A city has hexagonal ring road as shown in the figure below. Mr. Ricky stays at X near city and his office is located at Y. The arrow in the figure shows flow of traffic at office hours. The numerical value near each path shows the cost of travel along that road/stretch of the road. There is a fix toll tax at each of toll booths T1, T2...............… T8. The total cost of travel includes cost incurred along the path and at the toll booth.
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If toll tax is devised in such a way that total cost of travel remains same irrespective of the path then what is the minimum cost of travel from X to Y?
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- 240
- 260
- 310
- None of these
Correct Option: B
From the given condition ,
cost incurred in path 2 is equal to that in path 3 then T3 = 0
Similarly ,equating cost of path 3 and path 4 T7 = 0
Equating cost of path 4 and path 5 we will get
260 + T6 + T8 = 230 + T5
⇒ T5 = T6 + T8 + 30
Equating cost of path 1 and path 2 we will get ,
240 +T1 = 260 + T2+ T4
or T1 = T2 + T4 + 20
For minimum total cost T1 = 20 and T5 = 30 then cost incurred is Rs 260.
Therefore , the minimum cost of travel from X to Y is Rs 260 .
