30) A motorcyclist drives from place A to B with a uniform speed of 30 km h and returns from place B to A with a uniform speed of 20 km h.Find his average speed.
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Units are ignored in calculation.
Answer:
24 km/hr
Explanation:
Let the distance between A and B be S.
When from A to B :
⇒ speed = distance/time
⇒ 30 = S/time
⇒ time = S / 30
Similarly,
When returning:
⇒ time = S / 20
Hence,
⇒ Speed = ( total distance / time )
= ( S + S ) / ( S/30 + S/20 )
= ( S + S ) / [ ( 20S + 30S ) / 600 ]
= 600( S + S ) / ( 50S )
= 12( S + S ) / S
= 12S( 1 + 1 ) / S
= 12( 2 )
= 24
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