Question

A man walks at the speed of 6 km/
hr for 1 km and 8 km/hr for next
one km.What is his average speed for
the walk of 2 km.​

Answer 1

$\large\underline\mathfrak\red{Given \: :- }$

• A man has speed for 1km is 6km/hr.
• For next 1km 8km/hr.

$\large\underline\mathfrak\red{To \: find \: :- }$

• What is average speed for 2km.

$\large\underline\mathfrak\red{Solution \: :- }$

By seeing 1st condition

$\sf{⚫Speed = 6km/h}$

$\sf{⚫Distance = 1km}$

$\sf{⚫Time = \frac{distance}{speed} = \frac{1}{6} }$

By seeing 2nd Condition

$\sf{⚫Speed = 8km/hr}$

$\sf{⚫Distance = 1km }$

$\sf{⚫Time = \frac{distance}{time} = \frac{1}{8} }$

Finding Average Speed

${\large{\underline{\boxed{\bf{\pink{Average \: speed = \frac{total \: distance}{total \: time} }}}}}}$

$\sf\implies{1 + 1 + \frac{1}{6} + \frac{1}{8} } \: \: \: \: \: \\ \sf\implies{2 + \frac{4 + 3}{24} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf\implies{2 + \frac{7}{24} = 2 \times \frac{24}{7} } \\ \sf\implies{ \frac{48}{7} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\bf\implies\pink{6.85}$

The average speed for walk 2km is 6.85km/h.

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