Question

Aman has to cover a certain dist. She covers 2/5th of the total dist. by car, 3/10th by bus, 1/5th by auto, and rest 5km on foot what is the total distance covered
Please help me outta this

Answer 1

This is not difficult
Just follow the method


Let the total distance covered be x

Distance covered by car = 2/5×x
$= \frac{2x}{5}$km

Distance covered by bus = 3/10 × x
$= \frac{3x}{10} km$

Distance covered by auto = 1/5 × x
$= \frac{1x}{5} = \frac{x}{5} km$

Distance covered on foot= 5 km

So,

the equation will be formed which is as follows

$\frac{2x}{5} + \frac{3x}{10} + \frac{x}{5} + 5 = x$



Transposing x to LHS and 5 to RHS,
we have,

$\frac{2x}{5} + \frac{3x}{10} + \frac{x}{5} - x = - 5$

Taking 10 as LCM in the RHS,
we have,

$\frac{4x + 3x + 2x - 10x}{10} = - 5$

$\frac{ - x}{10} = - 5$
$- x = - 5 \times 10$
$- x = - 50$
cancelling the - sign in LHS and RHS , both ,

we have,

x = 50

So,
the total distance covered is 50km

Answer 2

let the total distance be x km

now,
2x/5+3x/10+1x/5+5=x

LCM OF 5,10,5=10

Therefore, 4x+3x+2x/10+5=x

9x/10+5=x

x-9x/10=5

10x-9x/10=5

x/10=5

x=50km