Latest self Aptitude Question SOLUTION: Sachin Tendulkar while walking diametrically across a semicircular playground, takes 3 minutes less than if he had kept walking round the circular path from A to B. If she walks 6

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(#M40018115) SELF question self Keep an EYE

Sachin Tendulkar while walking diametrically across a semicircular playground, takes 3 minutes less than if he had kept walking round the circular path from A to B. If she walks 60 metres a minute, What is diameter of the play ground ?
Please Explain the answer!

SHRESTH (11 years ago)

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Dr.Dipin Singh  (11 years ago)

315 mtr

If r is radius of semicircle ground, then
2r/60 = (Pi*r/ 60)-3
solving, D=2r = 315 mtrs

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Devendra Marghade  (11 years ago)

Diameter=315 m.
Let R=radius of circular path and given Speed=60*60=3600 m=3.6 km/hr
Distance travelled Diametrically=2R, and through circular path=Pi*R
Given time of 3 minutes (=1/20 hr.) less in covering both these distance
So (Pi*R-2R)/3.6 =1/20 or R(Pi-2)=3.6/20, R=0.1575 Km
Therefore Diameter=2R=2*0.1575=0.315 km. or 315 meters

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Abhishek Mishra  (11 years ago)

Suppose radius is 'R'.(in meter)
Speed =60 m/min.
Time to reach from point A to B (Diametrically)=2R/60
Time to reach from point A to B(using other path)=(2*3.14*R)/60.
Given-
(2*3.14*R)/60-2R/60=3.
after solving 2R=315 meter.

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