From 10:00 PM to 11:00 PM, a person drove at 40km/h and from 11:00 PM to 12 midnight at 50km/h. What is his average speed in the time interval 10 PM to 12 AM?
A
50 km/h
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B
45 km/h
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C
40 km/h
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D
90 km/h
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Solution
The correct option is B
45 km/h
Given: Speed in the time interval 10 PM to 11 PM = 40km/h Speed in the time interval 11 PM to 12 AM = 50km/h
Distance is given as the product of speed and time. The time intervals are equal to 1 hour. Distance covered in the time interval 10 PM to 11 PM = 40km Distance covered in the time interval 11 PM to 12 AM = 50km
Total distance =40+50=90km
Total time taken = 2hours
Average speed is the ratio of total distance to the total time. v=902=45km/h