The speeds of two motorcyclists are in the ratio 5:3. If the slower motorcyclist has a 24 km head start, and his speed is 12 km/h, how far (in km) will the faster motorcyclist travel to overtake him?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 60 km.
Speed ratio = 5x : 3x
Slower speed = 12 km/h
⇒ 3x = 12
⇒ x = 4
Faster speed = 5 × 4 = 20 km/h
Relative speed = 20 − 12 = 8 km/h
Time to catch = = 3 hours
Distance travelled by faster = 20 × 3 = 60 km