The distance between two towns, "A" and "B" is 350"km". The trip takes 3 hours, travelling x hours at 120 "km"/"h" and the remaining time at 60"km"/"h". Find the value of x. ?

Jun 19, 2018

The value of $x$ is $2 \frac{5}{6}$ hours.

Explanation:

The trip was

$x$ hours at $120$ km/h and $\left(3 - x\right)$ hrs at $60$ km/h

$\therefore 350 = 120 \cdot x + 60 \cdot \left(3 - x\right)$ or

$350 = 120 x - 60 x + 180 \mathmr{and} 60 x = 350 - 180$ or

$60 x = 350 - 180 \mathmr{and} 60 x = 170$ or

$x = \frac{170}{60} = \frac{17}{6} = 2 \frac{5}{6}$ hours

$= 2$ hours and $\frac{5}{6} \cdot 60 = 50$ minutes

$x = 2 \frac{5}{6}$ hours [Ans]