AGTSSP - Stage 7 - Bus stop Mystery Cache

Cache is not at coordinates given above - they are for a chargeable NT car park.

GEOCACHING ON NATIONAL TRUST PROPERTY IS AT YOUR OWN RISK.

Also, please note that the National Trust is caring for the specialist habitats and landscape you enjoy on this and other caches on NT property, which is one of the reasons we are glad to be members.

Stage 7 - A mathematical puzzle

This isn't as difficult as it first looks - just plug away at it and the answers will drop out. If it proves too tedious, I will add some more clues.

Last week I met seven of my friends at the bus stop. Each of us was waiting for a different number bus and each of us waited for a different number of minutes. Can you determine who was waiting for which bus and how many minutes each person waited?

• Each bus number consisted of 3 different digits.
• No person waited for more than 100 minutes.
• Four of the waiting times were prime numbers less than 20, and the other four (which were all greater than 20) could be found by multiplying pairs of these four prime numbers together.
• My bus number was the smallest, and equalled Bert's bus number divided by the time Bert waited.
• Bert's bus number was the fourth smallest.
• Cath waited the second shortest length of time and Gina waited less than 15 minutes.
• Eric's bus number equalled the sum of mine and Hugh's.
• Fiona's bus number was 307 and the time she waited equalled Cath's bus number divided by 8.
• Dave waited for a length of time equal to Eric's bus number minus Cath's bus number.
• I waited 26 minutes longer than Eric, who waited 20 minutes longer than Hugh.
• Gina's bus number equalled Eric's waiting time times Cath's waiting time, and Dave's bus number equalled Bert's waiting time times Fiona's waiting time.

The cache is at N51 ( ( A - ( B x C ) ) x K ) - F + 6
W000 ( ( ( E - H ) + 2 ) x N ) + M + B - A

Here is a link to the hints pages, which will help you to solve the puzzle, and which you can click on if you get stuck.