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Mr. John took 5 hours to cover 3/5of a journey. He covered the remaining 200 km in 3 hours. What ishis average speed for the whole journey?

Sagot :

Given,

The time taken by Mr. john to cover 3/5 of the journey is 5 hours.

The distance covered by Mr, john in 3 hour is 200 km.

Consider,

The complete distance covered by the Mr john in the journey is x km.

According to the question,

[tex]\begin{gathered} x-\frac{3}{5}x=200km \\ 5x-3x=5\times200km \\ 2x=1000km \\ x=\frac{1000km}{2} \\ x=500km \end{gathered}[/tex]

The total distance covered by the Mr. john in the journey is 500 km.

The distance covered by him in 3 hours is 200 km.

The distance covered by him in 5 hour is,

[tex]\frac{3}{5}x=\frac{3}{5}\times500=300km[/tex]

The average speed of the whole journey is,

[tex]\begin{gathered} Average\text{ speed=}\frac{total\text{ distance}}{total\text{ time}} \\ =\frac{500}{5+3} \\ =\frac{500}{8} \\ =62.5km\text{ per hour} \end{gathered}[/tex]

Hence, the average speed for the whole journey is 62.5 km per hour.