The circumferences of front wheel and rear wheel of a wagon are 315 cm and 420 cm, respectively. What is the distance travelled by the wagon, if the front wheels have made 10 rotations more than the rear wheels?
Explanation:
If x is the number of rotations made by the smaller wheel, and y is the number of rotations made by the larger wheel in covering a certain distance, then
(x) × (315) = y × 420 …(1)
x = y + 10 …(2) (Given)
From (1) and (2),
⇒ (y + 10) (315) = y × 420 …(3)
∴ y = 30
So, distance covered by the wagon = 30 × 420 = 126 m.
Hence, option (a).
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