Subject: General Aptitude · Chapter: Time and Distance · Exam: · Marks: · Difficulty:
A person travels equal distances with speeds of 3 km/hr, 4 km/hr and 5 km/hr and takes a total time of 47 minutes. The total distance (in km) is
(a)2
(b)3
(c)4
(d)5
Answer
Answer (as printed): B
Explanation
Let the total distance be $3 x \mathrm{km}$. Then, $\frac{x}{3}+\frac{x}{4}+\frac{x}{5}=\frac{47}{60} \Leftrightarrow \frac{47 x}{60}=\frac{47}{60} \Leftrightarrow x=1$. ∴ Total distance $=(3 \times 1) \mathrm{km}=3 \mathrm{km}$.