Question

A person travels from one place to another at 30 km/hr and returns at 120 km/hr. If

the total Time taken is 5 hours, then find the Distance.​

Answer 1

$\Large\underline{\underline{\sf Given:}}$

• Person travels from one place to another at 30 km/hr and returns at 120 km/hr

• Total time (T) = 5 hours

$\Large\underline{\underline{\sf To\:Find:}}$

• Distance (s)

$\Large\underline{\underline{\sf Formula\:Used:}}$

$\large{\boxed{\boxed{\sf \pink{Average\:Speed=\dfrac{Total\: Distance}{Total\:Time}}}}}$

$\Large\underline{\underline{\sf Solution:}}$

Let ,

total Distance be 2x

$\implies{\sf 120-30=\dfrac{2x}{5}}$

$\implies{\sf 90=\dfrac{2x}{5} }$

$\implies{\sf 90×5=2x }$

$\implies{\sf 450=2x }$

$\implies{\sf x=\dfrac{450}{2}}$

$\implies{\sf x=225\:km}$

$\Large\underline{\underline{\sf Answer:}}$

⛬ Total distance travel by person is 225km.

Answer 2

$\huge\red{\tt{\underline{\underline{AnSwer}}}}$

$\large\mathfrak{SteP-bY-steP -explanation}$

★$\large{\sf{\underline{\underline{GivEn:-}}}}$

• a person travels from one place to another at 30km/hr and returns at 120km/hr

• Total time = 5hrs

★$\large{\sf{\underline{\underline{To \: find:-}}}}$

• Distance

★$\large{\sf{\underline{\underline{SoluTion:-}}}}$

formula used ;

$\large{\boxed{\tt Average \: speed \: = \: \frac{Total \: distance}{Total \: time} }}$

$\bullet$ Speed = 120- 30 = 90km\h

$\bullet$ Total time = 5hrs

$\bullet$ let the total distance be x km

Now;

$\large\leadsto\ 90 \: = \: \frac{2x}{5} \\ \\ \large\leadsto\ 90 \times\ 5 \: = \: 2x$

$\large\leadsto\frac{450}{2} \: = \: x \\ \\ \large\leadsto\ x \: = \: 225$

$\rule{300}{2}$

$\therefore$ Distance covered =225km