How Long Will It Take Sam to Meet Leona in the Walking Race?

Calculating the Time to Meet

Myron Corporation is sponsoring a walking race at its company outing. Leona Jackson and Sam Peterson love to walk. Leona walks at the rate of 9 miles per hour. Sam walks at the rate of 10 miles per hour. Assume they start walking from the same place and walk in a straight line. Sam starts 1.5 hours after Leona. Answer the questions that follow.

How long will it take Sam to meet Leona? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Answer: To find out how long it will take Sam to meet Leona, we first need to determine the distance that Leona would have covered when Sam starts walking. Then, we can calculate the time it will take for Sam to catch up with Leona.

Explanation: To find out how long it will take Sam to meet Leona, we first need to determine the distance that Leona would have covered when Sam starts walking. Leona walks at a rate of 9 miles per hour. Since Sam starts 1.5 hours after Leona, Leona would have covered a distance of 9 miles/hour * 1.5 hours = 13.5 miles when Sam starts. Now we can calculate the time it will take for Sam to catch up with Leona.

Since Sam walks at a rate of 10 miles per hour and Leona has a head start of 13.5 miles, Sam will need to cover that distance. We can use the formula Distance = Rate × Time to find the time it will take. Plugging in the values, we get:

Time = Distance / Rate = 13.5 miles / 10 miles per hour = 1.35 hours

How long will it take Sam to meet Leona in the walking race? 1.35 hours
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