Question

Faisal covered 1/4 of a journey by a train, 2/3 of the same journey by a bus and the rest by a car. How much of the journey did she cover by a car​

Answer 1

Answer:

• The journey covered by a car is 1/12.

Step-by-step explanation:

Given that:

• Faisal covered 1/4 of a journey by a train, 2/3 of the same journey by a bus and the rest by a car.

To Find:

• How much of the journey did she cover by a car.

Let us assume:

• The journey covered by a car be x.

We have:

• Total journey = 1
• Journey by a train = 1/4
• Journey by a bus = 2/3
• Journey by a car = x

Finding the journey covered by a car:

According to the question.

⟶ 1/4 + 2/3 + x = 1

⟶ 1/4 + 2/3 = 1 - x

Taking 12 as LCM in LHS.

⟶ (3 + 8)/12 = 1 - x

⟶ 11/12 = 1 - x

⟶ 11 = 12(1 - x)

⟶ 11 = 12 - 12x

⟶ 12x = 12 - 11

⟶ 12x = 1

⟶ x = 1/12

∴ The journey covered by a car = 1/12

Answer 2

Given :-

Faisal covered 1/4 of a journey by a train, 2/3 of the same journey by a bus and the rest by a car.

To Find :-

Distance covered by car

Solution :-

At first distance covered by train and bus

$\sf\dfrac{1}{4} + \dfrac{2}{3}$

$\sf \dfrac{3+8}{12}$

$\sf\dfrac{11}{12}$

Now,

Distance covered by car =

$\sf 1 - \dfrac{11}{12}$

$\sf \dfrac{12-11}{12}$

$\sf \dfrac{1}{12}$