SOLUTION: Thomas, the drum major, can cross the football field in ⅓ the time , that Carl, the tuba player can. If the sum of the two boys’ times is 4.5 minutes, how many minutes does

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Question 1107208: Thomas, the drum major, can cross the football field in ⅓ the time , that Carl, the tuba player can. If the sum of the two boys’ times is 4.5 minutes, how many minutes does it take Carl to cross the football field?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = Carl's time in minutes
+%281%2F3%29%2At+ = Thomas's time in minutes
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+t+%2B+%281%2F3%29%2At+=+9%2F2+
( note that 4.5 = 9/2 )
+t%2A%28+1+%2B+1%2F3+%29+=+9%2F2+
+%284%2F3%29%2At+=+9%2F2+
Multiply both sides by +6+
+8t+=+27+
+t+=+27%2F8+
+t+=+3+%2B+3%2F8+
and
+%283%2F8%29%2A60+=+3%2A7.5+
+3%2A7.5+=+22.5+
It takes Carl 3 min 22.5 sec
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check the answer
+%284%2F3%29%2At+=+9%2F2+
+%284%2F3%29%2A%2827%2F8%29+=+9%2F2+
+%28+4%2A27%29%2F3+=+4%2A9+
+27%2F3+=+9+
+27+=+27+
OK