Question

Ali's House is 3/4 km from his school. He walked some distance and then took a bus for 1/2 km to reach the school. How far did he walk?

Answer 1

✬ Distance = 1/4 km ✬

Step-by-step explanation:

Given:

• Distance of Ali's house from school is 3/4 km.
• Distance covered by him by bus is 1/2 km.

To Find:

• Distance covered by him on foot ?

Solution: Let he walked x km. According to the question

➙ Total distance = Distance covered by (walk + Bus)

➙ 3/4 = x + 1/2

➙ 3/4 – 1/2 = x { 1/2 transported to LHS }

➙ 3 – 2/4 = x { LCM of 4 & 2 is 4 }

➙ 1/4 = x

Hence, Ali walked 1/4 km before taking bus.

_______________________

★ Check ★

➮ Total distance = Distance covered by (walk + Bus)

➮ 3/4 = 1/4 + 1/2

➮ 3/4 = 1 + 2/4 { LCM of 4 & 2 is 4 }

➮ 3/4 km = 3/4 km

• LHS = RHS

$\large\bold{\texttt {Verified }}$

Answer 2

Given:-

• Ali's House is 3/4 km from his school.

• He walked some distance and then took a bus for 1/2 km to reach the school.

To Find:-

• Distance he walked

Solution:-

Let the distance travelled by foot be x.

⟹ Total distance travelled by Ali = Distance travelled by foot + Distance travelled by bus

⟹ $\dfrac{3}{4} = x + \dfrac{1}{2}$

⟹ $x = \dfrac{3}{4}-\dfrac{1}{2}$

⟹ $x = \dfrac{3-2}{4}$

⟹ $x = \dfrac{1}{4}$

Hence, Ali walked ${\bold{ \dfrac{1}{4}\:km.}}$

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