# Quantitative Aptitude – Geometry – Circle

## Slot -1 – Quantitative Aptitude – Geometry – Circle – The wheels of bicycles A and B have radii 30 cm

Q. The wheels of bicycles A and B have radii 30 cm and 40 cm, respectively. While traveling a certain distance, each wheel of A required 5000 more revolutions than each wheel of B. If bicycle B traveled this distance in 45 minutes, then its speed, in km per hour, was?
1. 14π
2. 18π
3. 12π
4. 16π

Solution: Let number of revolutions of wheels of bicycle B =x
Distance traveled by bicycle A Distance traveled by bicycle B
So 2 πR(Base A) (x+5000) = 2 ΠR(Base B) *x
30*(x+5000) = 40x
150000= 10x
x = 15000
thus distance traveled by bicycle B = 2 π *40 *15000 cm = 1200000 π cm = 12 π km
time = 45 min = 45/60 hr = 3/4 hr
speed = distance /time = 12 π /(3/4) = 16 π

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