Jane travelled $\frac{4}{7}$ as many miles on foot as by water and $\frac{2}{5}$ as many miles on horseback as by water. If she covered a total of $3036$ miles, how many miles did she travel on foot?

1540

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880

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756

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616

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Solution

The correct option is B $880$
Suppose Jane travelled $x$ miles by water, $\frac{4 x}{7}$ miles on foot and $\frac{2 x}{5}$ miles on horseback.
Then, $x + \frac{4 x}{7} + \frac{2 x}{5} = 3036$
$\Rightarrow \frac{69 x}{35} = 3036$
$\Rightarrow x = \frac{3036 \times 35}{69} = 1540$
$∴$ Distance travelled on foot $= \frac{4}{7} \times 1540 = 880$ miles

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Jane travelled 47 as many miles on foot as by water and 25 as many miles on horseback as by water. If she covered a total of 3036 miles, how many miles did she travel on foot?

The correct option is B 880Suppose Jane travelled x miles by water, 4x7 miles on foot and 2x5 miles on horseback. Then, x+4x7+2x5=3036 ⇒69x35=3036 ⇒x=3036×3569=1540 ∴ Distance travelled on foot =47×1540=880 miles

Jane travelled $\frac{4}{7}$ as many miles on foot as by water and $\frac{2}{5}$ as many miles on horseback as by water. If she covered a total of $3036$ miles, how many miles did she travel on foot?