Q:

A certain plastic cup is manufactured by a robot. If 5 such robots, working at the same individual rate, can manufacture a combined total of 5 cups in 5 seconds, how many seconds will it take 25 robots to manufacture a total of 25 cups?A) 25B) 20C) 15D) 10E) 5

Accepted Solution

A:
Answer:E) 5 secondsStep-by-step explanation:We know that 5 robots can manufacture 5 cups in 5 seconds.    R1,R2,R3,R4,R5: 5 cups in 5 secondsIf we have 25 robots we can divide these 25 robots in 5 groups having 5 robots in each group. And each group will manufacture 5 cups in 5 seconds. Team 1 - R1,R2,R3,R4,R5 : 5 cups in 5 secondsTeam 2 - R6,R7,R8,R9,R10: 5 cups in 5 secondsTeam 3 - R11,R12,R13,R14,R15: 5 cups in 5 secondsTeam 4 - R16,R17,R18,R19,R20: 5 cups in 5 secondsTeam 5 - R21,R22,R23,R24,R25: 5 cups in 5 secodsThen we have: total of robots: 25         total of cups: 25     total of seconds: 5Meaning that if we have the 25 robots working simultaneously, it will take 5 seconds to each of the 5 teams (being a total of 25 robtos) to manufacture a total of 25 cups.