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 total of 3036 miles, how many miles did she travel on foot ?

Solution (By Examveda Team)

Suppose Jane travelled x miles by water,
$$\frac{4x}{7}$$ miles on foot and $$\frac{2x}{5}$$ miles on horseback.
Then,
$$\eqalign{ & \Leftrightarrow x + \frac{{4x}}{7} + \frac{{2x}}{5} = 3036 \cr & \Leftrightarrow \frac{{69x}}{{35}} = 3036 \cr & \Leftrightarrow x = \left( {\frac{{3036 \times 35}}{{69}}} \right) \cr & \Leftrightarrow x = 1540 \cr} $$
∴ Distance travelled on foot :
$$\eqalign{ & = \left( {\frac{4}{7} \times 1540} \right){\text{ miles}} \cr & {\text{ = 880 miles}} \cr} $$