If machine A polishes x units in 12 minutes and machine B polishes 5x units in 40 minutes, in how many minutes will A and B, working together, polish 50x units?

A 240

B 300

C 350

D 120

Solution

Correct Answer: Option A

Machine A ,1 মিনিটে পালিশ করে x/12 একক
Machine B ,1 "             "             "  5x/40 "
অতএব ,একত্রে 1 মিনিটে পালিশ করে  x/12 +5x/40
                                                               =(10x+15x)/120
                                                              =25x/120
                                                             =5x/24

একত্রে 5x/24 একক করে ১ মিনিটে
"               1     "          "   (1× 24)/5x    "
50x                "              ' (1× 24 × 50x  )/5x    "
                                     =240 মিনিটে

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