Final answer:
To find the distance Tim walked in a marathon, we can set up an equation based on the given information. By solving the equation, we find that Tim walked a distance of approximately 33.75 kilometers.
Step-by-step explanation:
To find the distance that Tim walked, we need to set up an equation based on the given information. Let's assume that he walked a distance of D km. We know that he ran part of the marathon at an average speed of 10 km/h and walked the rest at an average speed of 6 km/h.
Therefore, the time he spent running is D/10 and the time he spent walking is (42 - D)/6. The problem states that he spent 1 hour more running than walking, so we can set up the equation D/10 = (42 - D)/6 + 1. By solving this equation, we can find the value of D, which represents the distance that he walked.
Expanding the equation, we get D/10 = (42 - D + 6)/6. Multiplying both sides by 60, we get 6D = (42 - D + 6) * 10. Simplifying further, we have 6D = 480 - 10D + 60. Rearranging the terms, we get 16D = 540. Dividing both sides by 16, we find that D = 33.75 km.
Therefore, Tim walked a distance of approximately 33.75 kilometers.