Question

the distance between two places is 15km. A man travelled 33/4km by taxi.41/8 km by bus and remaining distance he walked. how many km did he walked?​

Answer 1

Given : ↴

$\sf \: Distance \: between \: two \: places \: is \: 15km.$

$\sf \: Distance \: covered \: by \: taxi \: = \cfrac{33}{4}$

$\sf \: Distance \: covered \: by \: bus \: = \cfrac{41}{8}$

To find : ↴

$\sf \: Distance \: covered \: by \: Foot \: = \: ?$

So, Let's Start : ↴

$\sf \: Formula \: for \: finding \: Distance \: Covered \: by \: Foot \: :$

$\boxed {\mathrm { Total \: Distance \: - Distance \: covered}}$

Distance covered : ↴

$\boxed {\mathrm { \: Distance \: covered \: by \: taxi \: + Distance \: covered \: by \: bus \:}}$

$\sf \: \cfrac{33}{4} + \cfrac{41}{8}$

$\sf \: \cfrac{66 + 41}{8} \: = \: \cfrac{107}{8} \: Km$

Distance Covered by Foot : ↴

$\sf \: \cfrac{15}{1} - \cfrac{107}{8}$

$\sf \: \cfrac{120 - 107}{8} \: = \: \cfrac{13}{8}$

$\sf \: Distance \: covered \: by \: Foot \: = \: \cfrac{13}{8} \: Km$

$\sf \: Answer \: = \: \cfrac{13}{8} \:Km$

______________________

Let's verify our Answer : ↴

$\sf \: \cfrac{13}{8} + \cfrac{33}{4} + \cfrac{41}{8}$

$\sf \: \cfrac{13+66+41}{8}$ = 15 Km