If 4 examiners can examine certain number of answer books in 8 days by working 5 hours a day, for how many hours a day would 2 examiners have to work in order to examine twice the number of answer books in 20 days.<\/p>","options":[{"option":"
6<\/p>","correct":true},{"option":"
7<\/p>","correct":false},{"option":"
8<\/p>","correct":false},{"option":"
9<\/p>","correct":false}],"solution":"
Given:<\/strong><\/p>\r\n Let's assume the certain number of answer books is x.Step 1: Find the total number of hours worked by 4 examiners in 8 days.<\/p>\r\n Total hours worked = 4 examiners × 8 days × 5 hours per day = 160 hoursStep 2: Find the total number of answer books examined by 4 examiners in 160 hours.<\/p>\r\n Total answer books examined = xStep 3: Find the rate at which each examiner examines answer books per hour.<\/p>\r\n Rate of examination per examiner per hour = x \/ (4 examiners × 160 hours)Step 4: Find the total number of answer books that need to be examined by 2 examiners in 20 days.<\/p>\r\n Total answer books to be examined = 2 × xStep 5: Find the total number of hours required by 2 examiners to examine 2x answer books.<\/p>\r\n Total hours required = (2x) \/ (2 examiners × Rate of examination per examiner per hour)Step 6: Find the number of hours per day required by 2 examiners to examine 2x answer books in 20 days.<\/p>\r\n Hours per day = Total hours required \/ (2 examiners × 20 days)Substituting the values:<\/p>\r\n Hours per day = (2x) \/ (2 × Rate of examination per examiner per hour × 20 days)<\/p>\r\n Hours per day = (2x) \/ (2 × (x \/ (4 × 160)) × 20)<\/p>\r\n Hours per day = (2x) \/ (x \/ 128)<\/p>\r\n Hours per day = 256 \/ xTherefore, 2 examiners would have to work for (256 \/ x) hours per day to examine twice the number of answer books in 20 days.<\/p>","subject":"General Test"},"yoast_head":"\n\r\n