What is the correct answer to this simple maths problem?

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Discussion Overview

The discussion revolves around a mathematical problem related to calculating the total number of bus runs within a specified time frame. Participants are analyzing the timing and frequency of bus departures based on given conditions.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant claims the total number of bus runs is 88, based on their interpretation of the schedule and calculations.
  • Another participant calculates a total of 84 runs, detailing their reasoning and steps taken to arrive at that number.
  • A third participant questions the starting time for the bus runs, suggesting it may be from 7:30 instead of 8:30, which affects the total count.
  • There is a discussion about the interpretation of the phrase "then every 10 minutes," with one participant noting a difference in understanding regarding when this timing starts.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as there are competing interpretations of the bus schedule and calculations leading to different total counts.

Contextual Notes

Participants express uncertainty regarding the starting time of the bus runs and the interpretation of the timing instructions, which may affect the calculations. There are also unresolved steps in the mathematical reasoning presented.

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http://img372.imageshack.us/img372/2057/timezy9.jpg

See image above. The answer is D - 88, however I can only find 84! Please can someone let me know what I am missing:

20-7= 13
13*6 + 1 = 79 = total upto 2030
+ 2045 bus = 80

+ 4 buses (two in 21st hr, two in 22nd hr) = 84

Thanks
 
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Looks straight forward to me. First there are the two morning runs. Then it runs "every 10 minutes" from 8:30 to 20:30 (8:30 A.M. to 8:30 P.M.). That's 12 hours and 6 times an hour for 12 hours is 72 times- actually 71 since we are counting exactly at 8:30 separately. Then 2 more runs until 21:14 (9:14 P.M.). Then 12 runs between 21:14 and 22:45 culminating in the final run. A total of 2+ 71+ 2+ 12+ 1= 88 runs.
 
Thanks for the reply. Isn't it every 10 minutes from 7:30 to 20:30, not from 8:30 to 20:30, which gives 79 runs up until the 20:30 run. Also, how are there "12 runs between 21:14 and 22:45 culminating in the final run?"

Thanks
 
I was interpreting "then every 10 mins" as meaning from the END of the first two runs. You are interpreting it as 10 min after the start of the second run. I can't say which interpretation is correct.
 

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