Question

1. A girl moves with a speed of 6 km/hr for 2 hours and with a speed of 4 km/hr for the
next 3 hours. Find the average speed of the girl and total distance. ​

Answer 1

ㅤ$\;\;\underline{\textbf{\textsf{Given:-}}}$

• $\sf \ Speed_1= 6km/h$

• $\sf \ Time_1= 2hours$

• $\sf\ Speed_2= 4km/h$

• $\sf \ Time_2=3hours$

ㅤ$\;\;\underline{\textbf{\textsf{To Find :-}}}$

• Average speed

• Total distance

ㅤ$\;\;\underline{\textbf{\textsf{Solution :-}}}$

$\underline{\:\textsf{ We know that :}}$

$\sf\ Speed = \dfrac{Distance }{Time}\\ \\ \dashrightarrow \sf S_1= \dfrac{d_1}{t_1}\\ \\ \dashrightarrow \sf 6= \dfrac{d_1}{2}\\ \\ \dashrightarrow \sf 12=d_1 ----eq(1)$

$\dashrightarrow \sf S_2= \dfrac{d_2}{t_2}\\ \\ \dashrightarrow \sf 4= \dfrac{d_2}{3}\\ \\ \dashrightarrow \sf 12=d_2----eq(2)$

$\underline{\:\textsf{ Therefore :}}$

• Total distance will be

= 12+12

= 24 km

ㅤ$\;\;\underline{\textbf{\textsf{ Hence-}}}$

$\underline{\textsf{ The distance travelled is </p><p>\textbf{ 24 km}}}.$

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Now, find the Average speed.

$\underline{\:\textsf{As We know that :}}$

$\boxed{\sf\ Average \ speed = \dfrac{Total \ distance }{Total \ Time}}$

$\underline{\:\textsf{Putting the values :}}$

$\dashrightarrow \sf Av. \ speed = \dfrac{d_1+d_2}{t_1+t_2}\\ \\ \dashrightarrow \sf Av. \ speed = \dfrac{24}{2+3}\\ \\ \dashrightarrow \sf Av.\ speed = \cancel{\dfrac{24}{5}}\\ \\ \dashrightarrow \sf Av.\ speed = 4.8km/h$

ㅤ$\;\;\underline{\textbf{\textsf{ Hence-}}}$

$\underline{\textsf{ Average speed </p><p>\textbf{4.8 km/hr}}}.$

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Answer 2

Answer:

4.8 km/hr is the answer

Explanation:

m......