A man plans to travel a total distance of 60 km in 6 hours, covering part of the journey on foot and the rest by bicycle. His walking speed is 6 km/hr, and his cycling speed is 12 km/hr. How much distance (in km) does he cover on foot?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 12.
time = distance ÷ speed
Let distance on foot = x km.
Time on foot = x ÷ 6
Time on bicycle = (60 − x) ÷ 12
⇒ x ÷ 6 + (60 − x) ÷ 12 = 6
⇒
⇒ 2x + 60 − x = 72
⇒ x + 60 = 72
⇒ x = 72 − 60 = 12