Correct Answer - Option 2 : 144 km
Given:
The speed of the A = 12 km/h
The speed of the B = 24 km/h
Formula used:
\(S\ =\ {D\over T}\) (Where S = Speed, D = Distance, and T = Time)
If A and B travel in opposite directions to each other then relative speed = (Speed of the A) + (Speed of the B)
If A and B travel in the same direction to each other then relative speed = (Speed of the A) - (Speed of the B)
Calculation:
⇒ The distance travelled by A in 6 hours = 12 × 6 = 72 km
⇒ The relative speed of A and B = 24 - 12 = 12 km/h
⇒ The time is taken by B to catch A = \({72\over 12}\ =\ 6\ hours\)
⇒ The distance traveled by B in 6 hours from point P = 24 × 6 = 144 km
∴ The required result will be 144 km.
