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A girl cycles at a speed of 12 km/h to her friend's house situated at a distance of 10 km from her house. She returns at a speed of 18 km/h. What is h
Question

A girl cycles at a speed of 12 km/h to her friend's house situated at a distance of 10 km from her house. She returns at a speed of 18 km/h. What is her average speed during the entire trip ?

A.

14.5 km/h

B.

15 km/h

C.

15.5 km/h

D.

16 km/h

Correct option is A

Time taken while going = Distance / Speed = 10 Km/12Km/h = 5/6 hours
Time taken while returning = Distance / Speed = 10 Km/18 Km/h = 5/9 hours
The total time for the trip is the sum of the time taken while going and returning:
Total Time = (5/6) hours + (5/9) hours = 25/18 hours
The average speed:
Average Speed = Total Distance / Total Time
= 20 Km/(25/18) hours
= 20 km ×(18/25) hours = 14.4 Km/h

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