The front wheel of Georgina's bicycle has a diameter of 0.75 metres. She cycled for 6 minutes at a speed of 24 kilometres per hour. The number of complete rotations that the wheel made during this time is closest to
(A) 610
(B) 1020
(C) 1360
(D) 1700
(E) 5430
If Georgina cycles for 6 minutes, then she cycles for $\frac{1}{10}$ of an hour.

If Georgina cycles for $\frac{1}{10}$ of an hour at $24 \mathrm{~km} / \mathrm{h}$, then she cycles a distance of $2.4 \mathrm{~km}$ or $2400 \mathrm{~m}$. Since the diameter of Georgina's front wheel is $0.75 \mathrm{~m}$, then its circumference is $\pi d=0.75 \pi \mathrm{m}$. With each rotation of the front wheel, Georgina will move $0.75 \pi \mathrm{m}$.

So if Georgina travels $2400 \mathrm{~m}$, then her front wheel rotates $\frac{2400}{0.75 \pi} \approx 1018.59$ times, which is closest to 1020 times.

ANsWer: (B)