You travel from City $X$ to City $Y$ . You know that the round-trip distance is $647$ miles. City $Z$ , a city you pass on the way, is $27$ miles from City $X$ . Find the distance from City $Z$ to City $Y$ .

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Solution

Finding distance from City $Z$ to City $Y$ :
Given that one round trip distance from City $X$ to City Y $= 647$ miles
Then the distance between City $X$ and City $Y$ $= \frac{647}{2} = 323.5 miles$
And given that City $Z$ , a city you pass on the way, is $27$ miles from City $X$
Therefore, distance from city $X$ to city $Z$ + distance from city $Z$ to city $Y$ = distance from city $X$ to city $Y$
$\Rightarrow 27 +$ distance from city $Y$ to city $Z$ $= 323.5$
$\Rightarrow$ distance from city $Y$ to city $Z$ $= 323.5 - 27 = 296.5$ miles
Thus, the required distance is $296.5$ miles.

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You travel from City X to City Y. You know that the round-trip distance is 647miles. City Z, a city you pass on the way, is 27 miles from City X. Find the distance from City Z to City Y.

You travel from City $X$ to City $Y$ . You know that the round-trip distance is $647$ miles. City $Z$ , a city you pass on the way, is $27$ miles from City $X$ . Find the distance from City $Z$ to City $Y$ .