Question

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

• A. $40$ feet
• B. $50$ feet
• C. $60$ feet
• D. $80$ feet

Answer 1

Answer: (C)

$60$ feet

Let the revolution of Back wheels be $x$

Distance covered in $1$ revolution by front wheel $=2$ feet

Distance covered by front wheel in $(x+10)$ revolution $=2(x+10)$ feet

Distance covered by back wheel in x revolution $=3x$

$\therefore 3x=2x+20\to x=20$

Hence Distance covered by wagon $=3x=3.20=60$ feet