Question

The average velocity of Ram over a given time duration is is 12m/s.If he travels the first half of the total time with velocity x m/s and the second half of the total time with velocity 2x m/s, calculate the value of x.

Answer 1

average velocity = $\frac{x+2x}{2}$

12 = $\frac{x+2x}{2}$

3x = 24

x = 24 ÷ 3

x = 8

Hope it helps and plz mark brainliest

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Value\:of\:x=8\:m/s}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{ \underline \bold{Given :}} \\ \tt:{ \implies Average \: velocity = 12 \: m/s} \\ \\ \tt: \implies First \: half \: velocity(v_{1}) = x \: m/s \\ \\ \tt: \implies Second \: half \: velocity( v_{2})=2 x \: m/s \\ \\ \red{ \underline \bold{To \: Find :}} \\ \tt: \implies Value \: of \: x = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies \frac{ v_{1} + v_{2} }{2} = Average \: velocity \\ \\ \circ \: \text{Putting \: the \: given \: values} \\ \tt: \implies \frac{x + 2x}{2} = 12 \\ \\ \tt: \implies \frac{3x}{2} = 12 \\ \\ \tt: \implies 3x = 12 \times 2 \\ \\ \tt: \implies 3x = 24 \\ \\ \tt: \implies x = \frac{24}{3} \\ \\ \green{\tt: \implies x = 8 \: m/s} \\ \\ \green{\tt \therefore v_{1} = 8 \: m/s} \\ \\ \green{\tt \therefore v_{2} = 16 \: m/s}$