A thief is spotted by a policeman from a distance of 250 meters. The thief runs at 11 km/h and the policeman chases him at 13 km/h. Find the distance covered by the thief before he is caught. MCQ with Answer and Explanation
A thief is spotted by a policeman from a distance of 250 meters. The thief runs at 11 km/h and the policeman chases him at 13 km/h. Find the distance covered by the thief before he is caught.
A. 1625 meters
B. 1250 meters
C. 1500 meters
D. 1375 meters
Answer: Option D
Solution (By JKSSB Mock Tests)
Relative speed = 13 - 11 = 2 km/h. Time to catch the thief = 0.25 km / 2 km/h = 0.125 hours. Distance covered by thief = Speed * Time = 11 km/h * 0.125 hours = 1.375 km = 1375 meters.
Two distinct points A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at constant speeds, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What is the speed of the faster car?
Explanation:
Let speeds be x and y (x > y). Same direction relative speed = x - y = 100 / 5 = 20 km/h. Opposite direction relative speed = x + y = 100 / 1 = 100 km/h. Adding equations: 2x = 120 => x = 60 km/h.
The speed of a boat in still water is 14 km/h and the speed of the current is 4 km/h. How much time will the boat take to cover a distance of 72 km downstream?
Explanation:
Downstream speed = Speed in still water + Speed of current = 14 + 4 = 18 km/h. Time taken = Distance / Downstream speed = 72 / 18 = 4 hours.
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