Subject: General Aptitude · Chapter: Time and Distance · Exam: 2005 · Marks: · Difficulty:
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?
(a)1540
(b)880
(c)756
(d)616
Answer
Answer (as printed): B
Explanation
Suppose Jane travelled $x$ miles by water, $\left(\frac{4 x}{7}\right)$ miles on foot and $\left(\frac{2 x}{5}\right)$ miles on horseback. Then, $x+\frac{4 x}{7}+\frac{2 x}{5}=3036 \Leftrightarrow \frac{69 x}{35}=3036$ $$\Leftrightarrow x=\left(\frac{3036 \times 35}{69}\right)=1540 .$$ ∴ Distance travelled on foot $=\left(\frac{4}{7} \times 1540\right)$ miles $=880$ miles.
Explanation as extracted from the printed page; notation may be imperfect.