SOLUTION: There are more than 1/4 million species of beetle. Assume the average length of a beetle is 1cm and the average walking speed is 10 cm per second. These beetles walk up a gang-plan

Algebra ->  Test -> SOLUTION: There are more than 1/4 million species of beetle. Assume the average length of a beetle is 1cm and the average walking speed is 10 cm per second. These beetles walk up a gang-plan      Log On


   

Question 1052264: There are more than 1/4 million species of beetle. Assume the average length of a beetle is 1cm and the average walking speed is 10 cm per second. These beetles walk up a gang-plank that is 5 meters long onto an ark. They do this in pairs, side by side, one male and one female from each species. The pairs of beetles are spaced so there is a gap of 3 cm between species. How many hours will it take for 1/4 million species of beetles to embark onto the ark once the first pair starts up the gangplank? Hint: PLP

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Find time in seconds to cover +1+%2B+3+=+4+ cm
+4+%2F+10+=+.4+ sec
Now find number of +4+ cm intervals in +500+ cm
+500%2F4+=+125+
+125%2A.4+=+50+ sec
+50+ sec for a pair to get into the arc
--------------------------
[ number of species ] / [ species/sec ] = [ sec ]
+.25%2A10%5E6+%2F+%281%2F50%29+=+.25%2A50%2A10%5E6+
+12.5%2A10%5E6+ sec
[ sec ] x [ hrs/secs ] = [ hrs ]
+12.5%2A10%5E6+%2A+%281%2F3600+%29+=+12500%2A10%5E3+%2F+3600+
+3.472%2A10%5E3+=+3%2C472+
3,472 hrs
--------------
Hope I got it!