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 ?
A. 1540 miles
B. 880 miles
C. 756 miles
D. 616 miles
Answer: Option B
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 :
$$\eqalign{ & = \left( {\frac{4}{7} \times 1540} \right){\text{ miles}} \cr & {\text{ = 880 miles}} \cr} $$
Related Questions on Speed Time and Distance
A. 48 min.
B. 60 min.
C. 42 min.
D. 62 min.
E. 66 min.
A. 262.4 km
B. 260 km
C. 283.33 km
D. 275 km
E. None of these
A. 4 hours
B. 4 hours 30 min.
C. 4 hours 45 min.
D. 5 hours
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