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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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