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    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
    Question

    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?

    A.

    14

    B.

    16

    C.

    15

    D.

    12

    Correct option is D

    Given:
    Total distance = 60 km
    Total time = 6 hours
    Formula Used:
    Distance = Speed × Time
    Solution:
    Let distance covered on foot = x km
    Distance by bicycle = (60 - x) km
    Time on foot =x6\frac {x}{6}
    Time on bicycle = 60x12\frac {60 - x}{ 12}​​
    According to question:
    x6+60x12=6 =>2x+60x12=6 =>x+6012=6 =>x+60=72 =>x=12 \frac{x}{6}+\frac{60-x}{12}=6 \\\ \\\Rightarrow \frac{2x+60-x}{12}=6 \\\ \\\Rightarrow \frac{x+60}{12}=6 \\\ \\\Rightarrow x+60=72 \\\ \\\Rightarrow x=12 \\\ \\​​

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