SOLUTION: joey visited his garden one day each week for four weeks each week his visit lasted 1 1/2 times as long as his preceding visit in the fourth week Joey spent 135 minutes in the gard

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Question 966938: joey visited his garden one day each week for four weeks each week his visit lasted 1 1/2 times as long as his preceding visit in the fourth week Joey spent 135 minutes in the garden how long was his visit during the first week?
Answer by LinnW(1048) About Me  (Show Source):
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Set t equal to the time spent of the first visit.
1.5*t is the time for the second visit
1.5*1.5*t is the time for the third visit
1.5*1.5*1.5*t is the time for the fourth visit.
t + 1.5*t + 1.5*1.5*t + 1.5*1.5*1.5*t = 135 minutes
t + 1.5t + 2.25t + 3.375t = 135
(1+1.5+2.25+3.375)t = 135
8.125t = 135
divide each side by 8.125 to give us the time of the first visit
t = 135/8.125
The length of the fourth visit is 3.375%2A%28135%2F8.125%29
which is approximately 56.07 minutes