Question

Ramu travelled 105km by a car and bus in the ratio of 1/2 : 1/3 find out the distance travelled by bus

Answer 1

Answer:

42 km

Step-by-step explanation:

Let the distance travelled by car and bus be 1/2 x and 1/3 x respectively.

According to the question ;

1/2 x + 1/3 x = 105

⇒ 3x + 2x / 6 = 105

⇒ 5x = 105 * 6

⇒ 5x = 630

⇒ x = 630 / 5

⇒ x = 126

Now, the total distance travelled by car is 1 / 2 x = 1/2 * 126

⇒ 63 km

And, the total distance travelled by bus is 1/3 x = 1 /3 * 126

⇒ 42

Hence, the distance travelled by bus is 42 km.

Answer 2

Answer:

$\boxed{\bf{\red{42\:km}}}$

Step-by-step explanation:

Ratio of the distance by the car : Ratio of the distance by the bus is :

1/2 : 1/3

↪ Let the distance travelled by the car be x/2 .

↪ Let the distance traveled by the bus be x/3.

Total sum of distance is 105 km .

⇒ x/2 + x/3 = 105

⇒ x ( 1/2 + 1/3 ) = 105

⇒ x ( 3 + 2 )/6 = 105

⇒ x × 5/6 = 105

⇒ x = 105 × 6/5

⇒ x = 21 × 6

⇒ x = 126

Thus the value of x is 126 .

Distance travelled by car = 1/2 × x = 126/2 km = 63 km .

Distance travelled by bus = 1/3 × x = 126/3 km = 42 km .

42 km is the distance .