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    ​​While covering a distance of 35 km, a man noticed that after cycling for 4 hours 15 minutes, the distance covered by him was 43\frac{4}{3} 34​​of th
    Question

    ​​While covering a distance of 35 km, a man noticed that after cycling for 4 hours 15 minutes, the distance covered by him was 43\frac{4}{3} ​of the remaining distance.

    What was his speed (in km/h, rounded off to one decimal place)?

    A.

    5.1

    B.

    7.9

    C.

    8.4

    D.

    4.7

    Correct option is D

    Given:

    Total distance = 35 km

    Time cycled = 4 h 15 min = 4.25 h

    Distance covered =43 \dfrac{4}{3}​ of remaining distance

    Formula Used:

    Speed =distancetime= \dfrac{\text{distance}}{\text{time}}​​

    Solution:

    Let covered distance = x km

    remaining = 35 - x km

    Condition: x =43(35x)= \dfrac{4}{3}(35 - x)

    3x = 140 - 4x 

    7x = 140

    x = 20 km

    speed =204.254=\frac{20}{4.25}\approx4​.7 km/h

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