A body covers the first 13 part of its journey with the speed of 2m/s, next 13 part with the speed of 3 m/s and the rest of the journey with a speed 6m/s. The average speed of the body will be
A
3m/s
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B
113m/s
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C
83m/s
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D
43m/s
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Solution
The correct option is A3m/s Let the total distance covered be d and the time taken in covering each part of the journey be t1, t2 and t3 respectively.
As per the data shown in the figure, we have t1=d3v1=d32=d6 And, t2=d3v2=d33=d9 And, t3=d3v3=d36=d18 ∴ Avearge speed =Total distance coveredTotal time taken=dd6+d9+d18=186=3m/s