Subject: General Aptitude · Chapter: Time and Distance · Exam: 2008 · Marks: · Difficulty:
A and B are two stations 10 km apart. A man, P starts from A and travels towards B at the rate of 3 km/hr, whereas another man Q starts from B and travels to wards A at the rate of 2 km/hr. When and where do they meet?
(a)After 2 hours, 6 km from A
(b)After 3 hours, 9 km from A 1
(c)After 2 hours, 7.5 km from A 2
(d)After 2 hours, 4 km from A
Answer
Answer (as printed): A
Explanation
Suppose they meet after $x$ hours. Then, Distance travelled by $P$ in $x$ hrs + Distance travelled by $Q$ in $x$ hrs = 10 km $\Leftrightarrow 3x + 2x = 10 \Rightarrow 5x = 10 \Rightarrow x = 2$ hrs. Distance travelled by $P$ in 2 hrs = $(3 \times 2)$ km = 6 km.
Explanation as extracted from the printed page; notation may be imperfect.