A signed a contract for building a road of 1920 meters long within 120 days. He employed 160 workers for this task. But after 24 days he found that only 1/8 of the task has been finished. If A want to finish the road in time how many additional workers he has to employee ? 

A  180 

B  120 

C  160 

D  280 

Solution

Correct Answer: Option B

Solution: Days remaining = 120 - 24 = 96 

             Work done = 1920/8 = 240 meter and work remaining = 1920 - 240 = 1680 meter 

          240 meter is done in 24 days by = 160 men 

            1   "        "     "    "   1  "      "    = (160 \( \times \) 24) / 240 men. 

       1680  "         "     "   "   96 "      "     = (160 \( \times \) 24 \( \times \) 1680) / 240 \( \times \) 96  men 

                                                            = 280 men 

             Additional men need = 280 - 160 = 120 Men. 

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