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### Grade 8 - Mathematics2.9 Compound Proportion

 Example: 10 men can lay a road 75 Km. long in 5 days. In how many days can 15 men lay a road 45 Km. long. Solution: Let x be number of days. Ratio of days = 5:x. Number of men is inversely proportional to number of days. So inverse of ratio of men = 15:10 = 3:2. Length of road is directly proportional to number of days. Therefore, Ratio of lengths = 75:45 = 5:3 5:x = 3*5:2*3 x*3*5 = 5*2*3 x = (5*2*3)/(3*5) x = 2. Number of days required = 2 days. Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: 24 men working at 8 hours per day can do a piece of work in 15 days. In how many days can 20 men working at 9 hours per days do the same work.16 days17 days18 days15 days Q 2: The dorm charges \$6300, for 35 students for 24 days , in how many days will the dorm charges be \$3375 for 25 students.15 days16 days18 days17 days Question 3: This question is available to subscribers only! Question 4: This question is available to subscribers only!