A person travels the totap distance in two parts in the ratio 2:1 with a constant speed of 30 km/hr in the first part and 40 km/hr in the second part . What is the average speed of the journey?
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Let the distances be 2x km
( for the first part) and x km ( for second part)
so, the total distance traveled ( s) = 2x km + x km = 3x km
Now,
Time taken to travelled the first part. ( t1) = 2xkm/30 km h^-1
= x/15 h
And , time taken to travell the second part ( t2) = x km/40 kmh^-1
= x/40 h
Total time taken = t1 + t2
= ( x/15+x/40) h
= 11x/120
We have,
Average speed= total distance traveled/ total time taken
= S/ t1+t2
= 3x km/(11x/120) h
= 360/11 kmh^-1
= 32.72 h km h^-1 ( Approx).......
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