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    For a bicycle rider, it is seen that for every two complete pedaling, the front wheel ofthe bicycle makes 3 complete turns. If the radius of the bicyc
    Question

    For a bicycle rider, it is seen that for every two complete pedaling, the front wheel ofthe bicycle makes 3 complete turns. If the radius of the bicycle wheel is 70 cm, thedistance (in metres) covered by the bicycle in 10 complete pedaling is:

    A.

    67

    B.

    61

    C.

    66

    D.

    71

    Correct option is C

    Given data:

    • Every 2 complete pedaling, the front wheel makes 3 complete turns.
    • Radius of the wheel = 70 cm.
    • Total pedaling = 10 complete pedaling.

    Step 1: Find the number of wheel turns for 10 pedaling

    Since 2 pedaling = 3 wheel turns,
    For 10 pedaling:

    102×3=5×3=15 wheel turns\frac{10}{2} \times 3 = 5 \times 3 = 15 \text{ wheel turns}​​

    Step 2: Find the distance covered per turn

    The distance covered in one complete turn of the wheel is the circumference, given by:

    Circumference=2πr\text{Circumference} = 2 \pi r

    =2×3.14×70= 2 \times 3.14 \times 70​​

    =439.6 cm= 439.6 \text{ cm}​​

    Step 3: Find total distance covered

    Total distance covered in 15 turns:

    15×439.6=6594 cm15 \times 439.6 = 6594 \text{ cm}​​

    Convert to metres (since 1 metre = 100 cm):

    6594÷100=65.94 metres6594 \div 100 = 65.94 \text{ metres}

    The correct answer is option C) 66 (on rounding up the figure , 65.94)

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