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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Which one of the following could be the value of toll taxes at T1, T2, T3…............... T8 such that total cost of travel is same irrespective of route?
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- 50, 10, 0, 10, 60, 20, 0, 10
- 50, 20, 0, 10, 60, 20, 0, 10
- 50, 20, 0, 10, 40, 20, 0, 10
- None of these
Correct Option: B
From the solution of previous question ,
we have following results:
T3 = T7 = 0,
T1 = 20 + T2 + T4, T5 = 30 + T6 + T8.
From the given options option B satisfies the condition.
Hence , required answer will be 50, 20, 0, 10, 60, 20, 0, 10 .
