1.  A thief steals a car at 2.30 p.m. and drives it at 60 kmph. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 kmph. When will he overtake the thief ?
A. 4.30 p.m.
B. 4.45 p.m.
C. 5 p.m.
D. 5.15 p.m.

Answer: Option C

Explanation:

Suppose the thief is overtaken x hrs after 2.30 p.m.
Then, distance covered by the thief in x hrs
= distance covered by the owner in (x - 1/2) hrs.
∴ 60x = 75 (x - 1/2) <=> 15x = 75/2
<=> x = 5/2 hrs.
So, the thief is overtaken at 5 p.m.