Question

The speed of the bus increases by 2 kms after every one hour if the distance traveling in the first one hour was 35 kms what was the total dostamce travelled in 12 hour

Answer 1

Total distance travelled in 12 hours =(35+37+39+.....upto 12 terms)

This is an A.P with first term, a=35, number of terms,

n= 12,d=2.

Required distance = 12/2[2 x 35+{12-1) x 2]

=6(70+23)

= 552 kms.

Answer 2

Answer:

The total distance traveled in $12$ hours is $552 \ km$.

Step-by-step explanation:

We have been given that the speed of the bus increases by $2 \ km$ after every hour.

The distance traveled in the first hour was $35 \ km$.

We will find the total distance traveled in 12 hours by using the method of A.P.

Total distance covered in $12$ hours = $35+ 37+39+.....upto \ 12 \ terms$

The first term in this A.P., $a = 35$

Total number of terms $n = 12$

Hence, distance traveled in 12 hours = $\frac{n}{2}[ 2a + (n-1)d]$

Substituting values in the above equation we get,

$= \frac{12}{2} [2 \times 35 +(12-1) \times 2\\= 552 \ km$

Therefore, the total distance covered in $12$ hours is $552$ $km$.

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