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Question

Quantitative Aptitude Question on Time Speed and Distance

A man drives to his office at 60 km/hr and returns home along the same route at 30 km/hr. Find the average speed for the entire journey.

A

40 km/hr

B

45 Km/hr

C

50 Km/hr

D

55 Km/hr

Answer

40 km/hr

Explanation

Solution

The speed of a man went to a place =60km/h60km/h
The speed of a man returning to the same place =30km/h30km/h
Distance=Speed×TimeDistance = Speed \times Time
TotalDistance=AverageSpeed×TotalTimeTotal Distance = Average Speed \times Total Time
Let us consider the Distance as D Total distance covered by the Man =D+D=2DD+D = 2D
Speed1=60km/hrSpeed1= 60 km/hr
Speed2=30km/hrSpeed2 = 30 km/hr
Time1=D60Time1=\frac{D}{60}
Time2=D30Time2 = \frac{D}{30}
TotalTime=D60+D30=D20Total Time = \frac{D}{60} + \frac{D}{30} = \frac{D}{20}
AverageSpeed=2D×20DAverage Speed = \frac{2D \times 20}{D}
AverageSpeed=40km/hrAverage Speed = 40km/hr
The correct answer is (A): 40 km/hr