The space freighter ‘Mako’ trades out of Antares. It travels at constant speed through hyperspace and its route is as follows:

ITINERARY
Antares-Alniyat ...........7 days
Alniyat- β Normae .......4 days
β Normae-1 Scorpii .....8 days
1 Scorpii-Antares ........5 days
Antares- π Scorpii .......7 days
π Scorpii-1 Scorpii.......3 days
1 Scorpii-Alniyat .........5 days
Alniyat-Dschubba ........3 days
Dschubba-Akrab .........6 days
Akrab-π Scorpii ..........4 days
π Scorpii- β Normae .....6 days
(Parts of days ignored throughout)

How many days would it take the ‘Mako’ to travel back home from β Normae to Antares?

(In reply to An example of one solution by Dej Mar)

Dej,

Parts of days are rounded up, not down, but even so Pi Sco. to 1 Sco. is 4.31 by your reckoning (so either 4 or 5) while it should be less than 3.

I'll give the first 7 entries in order to 2 decimal places of days (yours, then actual):

{7.2, 6.93}{4.38, 3.91}{8.05, 7.97}{5.05, 4.68}{7.56, 6.24}{4.31, 2.46}{5.59, 4.92}

Pi Sco. to B. Nor. is {6.51,5.61}

Edited on April 7, 2011, 2:42 pm

Posted by broll on 2011-04-07 14:38:12