SOLUTION: In the same amount of time a new production assembly robot can assemble 8 times as many transmissions as an old assembly line. If the new robot can assemble 'x' transmissions per

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Question 632553: In the same amount of time a new production assembly robot can assemble 8 times as many
transmissions as an old assembly line. If the new robot can assemble 'x' transmissions per hour, how
many transmissions can the new robot and the old assembly line produce together in five days of round
the clock production.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The rate at which the new robot works is +x%2F1+ transmissions/hour
Old robot's rate = +%28x%2F8%29+%2F+1+ transmissions/hour
Working together, just add the rates
Let +k+ = total transmissions produced
+x%2F1+%2B+x%2F8+=+k%2F%285%2A24%29+
+x%2A%28+1+%2B+1%2F8+%29+=+k+%2F+120+
+k%2F120+=+%289%2F8%29%2Ax++
+k+=+%28%28+9%2A120+%29%2F8%29%2Ax+
+k+=+135x+
The new robot plus old robot can produce +135x+ transmissions