Question : A thief is noticed by a policeman from a distance of 300 m. The thief starts running and the policeman starts chasing him. The thief and policeman run at the rate of 11 km/hr and 13 km/hr, respectively. After running for how many kilometres will the policeman be able to catch the thief?
Option 1: 1.65
Option 2: 1.85
Option 3: 1.75
Option 4: 1.95
Correct Answer: 1.95
Solution : Distance between police and the thief = 300 m Speed of thief = 11 km/hr Speed of police = 13 km/hr Relative speed in same direction = 13 – 11 = 2 km/hr = $2\times\frac{5}{18}$ m/s = $\frac{5}{9}$ m/s Time = $\frac{\text{Distance}}{\text{Speed}}$ = $\frac{300}{\frac{5}{9}}$ = $\frac{300\times9}{5}$ = 540 seconds 540 seconds = $\frac{540}{60\times60}=\frac{3}{20}$ hours Distance travelled by police = speed × time = $13\times\frac{3}{20}$ = $\frac{39}{20}$ = 1.95 km Hence, the correct answer is 1.95.
Application | Eligibility | Selection Process | Result | Cutoff | Admit Card | Preparation Tips
Question : A thief is spotted by a policeman from a distance of 250 m. When the policeman starts the chase, the thief also starts running. Assuming that the speed of the thief is 10 km/h and that of the policeman is 12 km/h, how far would the thief have run before he is caught?
Option 1: 4 km
Option 2: 1.25 km
Option 3: 3 km
Option 4: 2 km
Question : A thief, seeing a policeman from a distance of 120 m, starts running at a speed of 7 km/hr. The policeman chases immediately with a speed of 8 km/hr and the thief is caught. What is the distance run by the thief?
Option 1: 820 m
Option 2: 780 m
Option 3: 840 m
Option 4: 800 m
Question : A boat travels 60 kilometres downstream and 20 kilometres upstream in 4 hours. The same boat travels 40 kilometres downstream and 40 kilometres upstream in 6 hours. What is the speed (in km/hr) of the stream?
Option 1: 24 km/hr
Option 2: 16 km/hr
Option 3: 18 km/hr
Option 4: 20 km/hr
Question : A policeman sees a thief at a distance of 150 m. He starts chasing the thief who is running at a speed of 5 m/sec, while the policeman chases with a speed of 7 m/sec. Find the distance covered by the thief when he is caught by the policeman.
Option 1: 285 m
Option 2: 325 m
Option 3: 375 m
Option 4: 295 m
Question : A train crosses two persons travelling at 4 km/hr and 6 km/hr in the same direction in 12 sec and 14 sec, respectively. The speed of the train is ________.
Option 1: 18 km/hr
Option 2: 26 km/hr
Option 3: 20 km/hr
Option 4: 24 km/hr
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile