Math, asked by 12101979, 1 year ago

A man covers the first 70 km of a journey at 35km/hr and the remaining 40 km at 10km/hr.Find the average speed of the whole journey

Answers

Answered by simransahu94
0
1.8 km/hr mark as brainliest
Answered by nilesh102
4

{ \bf{ \underline{  \red{\underline{ \red{Solution    : -  } }}}}}

{ Accirding to question }

Case 1 :- Distance covered by man with speed is as follow,

Distance = 70 km & Speed = 35 km/hr

Case 2 :- Distance covered by man with speed is as follow,

Distance = 40 km & Speed = 10 km/hr

Now we need to find time for case 1 we use formula

{ \bf{ \dashrightarrow{Speed =  \frac{ Distance  }{Time} }}}

{ \bf{ \dashrightarrow{35 =  \frac{ 70  }{Time} }}}

{ \bf{ \dashrightarrow{Time =  \frac{ 70  }{35} }}}

{ \bf{ \dashrightarrow{Time =  2 \: hour}}}

2 hour taken by person to cover 70 km with speed 35 km/hr.

Now we need to find time for case 2 we use formula

{ \bf{ \dashrightarrow{Speed =  \frac{ Distance  }{Time} }}}

{ \bf{ \dashrightarrow{10 =  \frac{ 40  }{Time} }}}

{ \bf{ \dashrightarrow{Time =  \frac{ 40  }{10} }}}

{ \bf{ \dashrightarrow{Time = 4 \: hour }}}

4 hour taken by person to cover 40 km with speed 10 km/hr.

Now, to calculate average speed

{ \bf{ \small {\dashrightarrow{Average  \: speed =  \frac{ Total \: distance  }{Total \: time} }}}}

{ \bf{ \small {\dashrightarrow{Average  \: speed =  \frac{70 + 40}{2 + 4} }}}}

{ \bf{ \small {\dashrightarrow{Average  \: speed =  \frac{110}{6} }}}}

{ \bf{ \small {\dashrightarrow{Average  \: speed =  18.33 \:km/hr   }}}}

Hence average speed of the whole journey is 18.33 km/hr.

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