Instructions
A train travels from Station A to Station E, passing through stations B, C, and D in that order. The train has a seating capacity of 200.
A ticket may be booked from any station to any other station ahead on the route, but not to any earlier station. A ticket from one station to another reserves one seat on every intermediate segment of the route. For example, a ticket from B to E reserves a seat in the intermediate segments B–C, C–D, and D–E.
The occupancy factor for a segment is the total number of seats reserved in the segment as a percentage of the seating capacity. The total number of seats reserved for any segment cannot exceed 200.
The following information is known:
- The occupancy factor for segment C–D was 95%, and only segment B–C had a higher occupancy factor.
- Exactly 40 tickets were booked from B to C, and 30 tickets were booked from B to E.
- Among the seats reserved on segment D–E, exactly four-sevenths were from stations before C.
- The number of tickets booked from A to C was equal to the number booked from A to E, and this number was higher than the number booked from B to E.
- No tickets were booked from A to B, from B to D, and from D to E.
- The number of tickets booked for any segment was a multiple of 10.
Question 14.
What was the occupancy factor for segment D - E?
What was the occupancy factor for segment D - E?
Question Explanation
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From the above table, the tickets in the segments A - B, B - C, C - D and D - E can be calculated as,
A - B $=a+b+c=2a+b=130$
