Question

The front wheels of a wagon are 2 π metre in circumference and the back wheels are 3π metre in circumference. When the front wheels have made 10 more revolutions than the back wheels, how many metres has the wagon travelled?

• A. $60\pi$
• B. $20\pi$
• C. $23\pi$
• D. $16\pi$

Answer 1

The correct option is A

$60\pi$

Suppose the back wheel has made x revolutions.
$\therefore$ Front wheel has made (10+x) revolutions.
$\Rightarrow 3\pi x=2\pi (10+x)$
$\Rightarrow \pi x=2\pi \times 10\Rightarrow x=20$
$\therefore$ The wagon has travelled $3\pi x=60\pi .$