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Ram travelled an equal distance with the speed of 40 km/hr, 45 km/hr and 60 km/hr. What is the average speed of Ram during the whole journey? Correct
Question

Ram travelled an equal distance with the speed of 40 km/hr, 45 km/hr and 60 km/hr. What is the average speed of Ram during the whole journey? Correct to two decimal places.

A.

66.94 km/hr

B.

94.66 km/hr

C.

64.96 km/hr

D.

46.96 km/hr

Correct option is D

Given: 

Distance = Equal 

S1=S_1 =   40 km/h

S2=S_2 =  45 km/h

S3=S_3 = 60 km/h  

Formula Used:

 Average speed Total DistanceTotal Time\frac{ Total \ Distance} { Total \ Time}  

Solution:

Let the distance = x km

Then 

Average speed = 3xx40+x45+x60 \frac{3x } { \frac{x}{40}+ \frac{x}{45} + \frac{x}{60}}  

                          = 3×3609+8+6\frac{ 3 \times 360} { 9 + 8 + 6 }  

                         = 108023\frac{ 1080}{23 }   

                         = 46.96 km/h 

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