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    A cyclist rides for 2 hours at 15 km/hr and then for 3 hours at 20 km/hr. What is the average speed (in km/hr) of the cyclist for the entire trip?
    Question

    A cyclist rides for 2 hours at 15 km/hr and then for 3 hours at 20 km/hr. What is the average speed (in km/hr) of the cyclist for the entire trip?

    A.

    18

    B.

    16

    C.

    20

    D.

    19

    Correct option is A

    Given:
    Time for first part, t₁ = 2 hours
    Speed for first part, s₁ = 15 km/hr
    Time for second part, t₂ = 3 hours
    Speed for second part, s₂ = 20 km/hr
    Formula Used:
    Average speed=Total distanceTotal time\text{Average speed} = \frac{\text{Total distance}}{\text{Total time}} ​​
    Total distance = (s₁ × t₁) + (s₂ × t₂)
    Total time = t₁ + t₂
    Solution:
    Distance for first part = 15 × 2 = 30 km
    Distance for second part = 20 × 3 = 60 km
    Total distance = 30 + 60 = 90 km
    Total time = 2 + 3 = 5 hours
    Average speed = 905\frac {90}{5}​ = 18 km/hr

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