Question 6

Any traveled $$\frac{4}{7^{th}}$$ as many miles on foot as by water and $$\frac{2}{5^{th}}$$ as many miles on horse back as by water. If she covered a total of 3036 miles, how many miles did she travel in each manner: water,foot and horseback?

Solution

Let x be the distance traveled by water

Distance by foot is $$\ \frac{\ 4x}{7}$$

Distance by horseback is $$\ \frac{\ 2x}{5}$$

Total distance = x + $$\ \frac{\ 4x}{7}$$ + $$\ \frac{\ 2x}{5}$$ = 3036

Hence x = 1540

$$\ \frac{\ 4x}{7}$$ = 880

$$\ \frac{\ 2x}{5}$$ = 616

Option A is correct

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