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Shane made a round-trip journey of 160 miles in each direction. Shane's rate of travel to his destination was 7 mph slower than the rate of travel back home. His whole travel time was 11.4 hours.

User Kamilah
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Final answer:

To solve this problem, we need to set up an equation using the average speed formula and the given information. We can then solve the equation to find the values of x and d.

Step-by-step explanation:

Let's say Shane's rate of travel to his destination is x mph, and his rate of travel back home is x + 7 mph.

The formula for finding average speed is total distance divided by total time. Let's assume the distance to his destination is d miles.

His travel time to his destination is d divided by x, and his travel time back home is d divided by x + 7.

Since his whole travel time is 11.4 hours, we can write the equation:

d/x + d/x + 7 = 11.4

To solve for d, we need to use the fact that the total distance for the round trip is 160 miles in each direction.

Therefore, we have the equation:

160/x + 160/x + 7 = 11.4

Solving this equation will give us the values of x and d to find Shane's rates of travel and the distance to his destination respectively.

User Mark Reinhold
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