Question

After travelling a distance of 45 kilometre jim be found at 2/5 of his journey was still left what was the length of his whole journey

Answer 1

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

$\green{\tt{\therefore{Total\:distance=75\:km}}}$

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

$\green{\underline \bold{Given :}} \\ \tt: \implies Distance \: travel = 45 \: km \\ \\ \tt: \implies Left \: Distance = \frac{2}{5} of \: his \: journey \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Total \: Distance = ?$

• According to given question :

$\tt \circ \: Let \: total \: distance \: be \: x \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies 45 \: km + \frac{2}{5} \: of \: his \: journey = Total \: journey \\ \\ \tt: \implies 45 + \frac{2}{5} x = x \\ \\ \tt: \implies 45 = x - \frac{2}{5}x \\ \\ \tt: \implies 45 = \frac{5x - 2x}{5} \\ \\ \tt: \implies 45 = \frac{3x}{5} \\ \\ \tt: \implies \frac{45 \times 5}{3} = x \\ \\ \tt: \implies 15 \times 5 = x \\ \\ \green{\tt: \implies x = 75 \: km} \\ \\ \green{\tt \therefore Total \: distance \: is \: 75 \: km}$

Answer 2

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

$\tt{ \purple{Total \: Journey \: = \: 75 \: km}}$

• Given

☞ Traveling = 45 km

☞ $\large{\frac{3}{5}}$ of his journey still left

• To Find

☞ Total Journey = ?

$\bf{\pink{\underline{ \green{Solution:}}}}$

$\sf{Let, \: jim \: total \: journey \: be \: x}$

$\sf{ He \: travelled \: 45 \: km} \\ \\ \sf {He \: left \: to \: travel \: = \: (x - 33) \: km} \\ \\ \sf This \: is \: \frac{2}{5} \: of \: his \: journey \: still \: left$

$\tt{x - 45 = \frac{2}{5} \times x} \\ \\ \tt{ \implies \: x - \frac{2x}{5} = 45} \\ \\ \tt{ \implies \: \frac{3x}{5} = 45} \\ \\ \tt{ \implies \: x = 45 \times \frac{5}{3} } \\ \\ \tt{ \purple{ \implies \: x = 75 \: km}}$

$\purple{\underline{\boxed{\text{His total journey = 75 km}}}}$