Question

Q: Preethi travelled (p? +3p+5) km by bus and (6p+3) km by train. What is the total distance travelled by Preethi? ? ​

Answer 1

Appropriate Question:

Preethi travelled (p² + 3p + 5) km by bus and (6p + 3) km by train. What is the total distance travelled by Preethi?

Answer:

(p² + 9p + 8) km

Step-by-step explanation:

As per the provided information in the given question, we have:

• Distance travelled by Preethi by bus = (p² + 3p + 5) km
• Distance travelled by Preethi by train = (6p + 3)

We've been asked to calculate the total distance travelled by Preethi.

Basically, first she travels certain distance by bus and then she travels another certain distance by car. So, the total distance will be the sum of the distances covered by Preethi from bus and train.

Here, we only have to perform the addition of the algebraic expressions to find the required answer. In the addition of the algebraic expressions, we can only perform addition of the like terms. We can't add unlike terms.

$\longrightarrow \sf{\quad { Distance_{(Total)} = (p^2 + 3p + 5) + (6p + 3) }}$

Remove the brackets.

$\longrightarrow \sf{\quad { Distance_{(Total)} = p^2 + 3p + 5 + 6p + 3 }}$

Now, collect the like terms. Here, the like terms are p² ; 3p and 6p ; 5 and 3. So, grouping the like terms.

$\longrightarrow \sf{\quad { Distance_{(Total)} = p^2 + 3p + 6p + 5 + 3 }}$

Performing the addition of the like terms.

$\longrightarrow \quad\underline{\boxed { \pmb{\frak{ Distance}}_{ \pmb{\frak{ (Total)}}} = \pmb{\frak{ (p}}^{ \pmb{\frak{ 2}}} + \pmb{\frak{ 9p + 8) \; km }}}}$

Therefore, total distance travelled by her is (p² + 9p + 8) km.

Answer 2

Correct question:

Preethi travelled $(p^2 +3p+5)$km by bus and $(6p+3)$km by train. What is the total distance travelled by Preethi?

What to find:

What is the total distance travelled by Preethi?

Information given in the question:

• Preethi travelled $(p^2 +3p+5)$ km by bus.

• Preethi travelled $(6p+3)$ km by train.

Solution:

According to the question:

We know that,

Addition of all the given distance=Total distance

The total distance travelled by preethi=

$\to (p^2 +3p+5) + (6p+3)$ km

$\to p^2+9p+8$ km

Answer:

The total distance travelled by preethi=$p^2+9p+8$ km