Section 1.8 Mixed Applications and Computing Mean 67 Answer 2. 9 hr overtime Solving a Travel Application Example 2 Linda must drive from Clayton to Oakley. She can travel directly from Clayton to Oakley on a mountain road, but will only average 40 mph. On the route through Pearson, she travels on highways and can average 60 mph.Which route will take less time? 95 mi Pearson 85 mi Clayton Oakley 120 mi Solution: Read and familiarize: A map is presented in the problem. Given: The distance for each route and the speed traveled along each route Find: Find the time required for each route. Then compare the times to determine which will take less time. Operations: 1. First note that the total distance of the route through Pearson is found by using addition. 85 mi 95 mi 180 mi 2. The speed of the vehicle gives us the distance traveled per hour.Therefore, the time of travel equals the total distance divided by the speed. From Clayton to Oakley through the mountains, we divide 120 mi by 40-mph increments to determine the number of hours. 120 mi Clayton Oakley 40 mi in 1 hr Time 40 mi in 1 hr 120 mi 40 mph 40 mi in 1 hr 3 hr From Clayton to Oakley through Pearson, we divide 180 mi by 60-mph increments to determine the number of hours. 180 mi Pearson Clayton Oakley Time 60 mi in 1 hr 180 mi 60 mph 3 hr 60 mi in 1 hr 60 mi in 1 hr Therefore, each route takes the same amount of time, 3 hr. Skill Practice 2. Taylor makes $18 per hour for the first 40 hr worked each week. His overtime rate is $27 per hour for hours exceeding the normal 40-hr workweek. If his total salary for one week is $963, determine the number of hours of overtime worked.
miller_prealgebra_2e_ch1_3
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