# Question #72449

Mar 26, 2017

it would be 32.4 km or 32,400 m

#### Explanation:

So if the bus moves in straight line with the same speed and no external forces acting on it,

from the formula used in physics $d = u \cdot t$

[ d <- distance , u<- velocity, t <- time]

you would have $d = 40 \cdot \left(t + 7 \cdot 60\right)$ [1]
and $d = 36 \cdot \left(t + 22 \cdot 60\right)$ [2]

so you will firstly solve the equation (1) = (2) for t

$40 \cdot \left(t + 420\right) = 36 \cdot \left(t + 1320\right)$
$40 \cdot t + 420 \cdot 40 = 36 \cdot t + 1320 \cdot 36$
$4 \cdot t = 47 , 520 - 16 , 800$
$4 \cdot t = 30 , 720$
$t = 7680$ seconds or 128 minutes

then choose one equation and replace the time :

$d = 40 \cdot \left(7680 + 7 \cdot 60\right)$
$d = 40 \cdot \left(7680 + 420\right)$
$d = 40 \cdot \left(8 , 100\right)$
$d = 32 , 400$ m or 32.4 km