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Every Sunday, Gin jogs 3 miles. For he r...

Every Sunday, Gin jogs 3 miles. For he rest of the week, each day he jogs 1 mile more than the previous day. How many miles Gin jogs in 2 weeks?

A

42

B

63

C

84

D

98

Text Solution

AI Generated Solution

The correct Answer is:
To find out how many miles Gin jogs in 2 weeks, we can break down the problem step by step. ### Step 1: Calculate Gin's jogging distance for Week 1 - **Sunday**: Gin jogs 3 miles. - **Monday**: He jogs 1 mile more than Sunday, which is 4 miles. - **Tuesday**: He jogs 1 mile more than Monday, which is 5 miles. - **Wednesday**: He jogs 1 mile more than Tuesday, which is 6 miles. - **Thursday**: He jogs 1 mile more than Wednesday, which is 7 miles. - **Friday**: He jogs 1 mile more than Thursday, which is 8 miles. - **Saturday**: He jogs 1 mile more than Friday, which is 9 miles. Now, we can sum up the miles for Week 1: - Total for Week 1 = 3 + 4 + 5 + 6 + 7 + 8 + 9 Calculating this: - 3 + 4 = 7 - 7 + 5 = 12 - 12 + 6 = 18 - 18 + 7 = 25 - 25 + 8 = 33 - 33 + 9 = 42 So, Gin jogs **42 miles in Week 1**. ### Step 2: Calculate Gin's jogging distance for Week 2 The pattern for Week 2 is the same as Week 1: - **Sunday**: 3 miles - **Monday**: 4 miles - **Tuesday**: 5 miles - **Wednesday**: 6 miles - **Thursday**: 7 miles - **Friday**: 8 miles - **Saturday**: 9 miles Thus, the total for Week 2 is also: - Total for Week 2 = 3 + 4 + 5 + 6 + 7 + 8 + 9 = 42 miles ### Step 3: Calculate the total distance for 2 weeks Now, we add the total distances from both weeks: - Total distance for 2 weeks = Week 1 + Week 2 = 42 + 42 = 84 miles Therefore, Gin jogs a total of **84 miles in 2 weeks**. ### Final Answer: Gin jogs **84 miles in 2 weeks**.
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