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Q.

A man walks on a straight road from his home to a market 2.5 km away with a speed of 5 km/h. Finding the market closed, he instantly turns and walks back home at a speed of 7.5 km/h. The average speed of the man over the interval of time 0 to 40 min. is equal to  

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a

5 km/h

b

254 km/h

c

304 km/h 

d

458 km/h

answer is D.

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Detailed Solution

A man walks from his home to market with a speed of  5km/h. Distance =2.5km  and time =dv=2.55=12hr  and he returns back with speed of  7.5km/h in rest of time of 10 minutes.
Distance =7.5×1060=1.25km
So, Average speed=Total  distanceTotal    time   
=(2.5+1.25)km(40/60)hr=458km/hr

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