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Question
If 17 labourers can dig a ditch 26 m long in 18 days, working 8 hours a day; how many more labourer working 9 hours a day?
34
51
68
85
ANSWER : 2
Descrption
<p style="margin-left:0px;">Given:</p><ul><li>17 laborers can dig a ditch 26 meters long in 18 days, working 8 hours a day.</li></ul><p style="margin-left:0px;">First, calculate the total man-days required for this task: Total man-days = (Number of laborers) × (Number of days) = 17 × 18 = 306 man-days.</p><p style="margin-left:0px;">Now, we want to find out how many more laborers are needed if they work 9 hours a day. Let's denote the number of additional laborers needed as "x."</p><p style="margin-left:0px;">In this case, the total man-days required to complete the same task with 9 hours of work per day would remain the same (306 man-days).</p><p style="margin-left:0px;">So, we can set up the equation: (17 + x) laborers × 9 hours per day = 306 man-days</p><p style="margin-left:0px;">Now, solve for x:</p><p style="margin-left:0px;">17x + 9x = 306 26x = 306 x = 306 / 26 x = 51</p><p style="margin-left:0px;">So, 51 more laborers are needed if they work 9 hours a day to complete the same task.</p><p style="margin-left:0px;">The correct answer is 51.</p>
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