A policeman saw a thief from a distance of 450 m. When the policeman started chasing him, the thief also started running. The ratio of speeds of the thief to the policeman is 7 : 8. After running how much distance (in km) can the policeman catch the thief?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 3.6.
Concept used:
Relative speed = x - y, when two objects are running in the same direction.
Calculations:
Let the speed of policeman and theif be 8x and 7x
Relative speed = 8x - 7x = x
Time taken to catch the theif = 450/x
Distance travelled by the policman = 8x × (450/x) = 3600 m or 3.6 km