Question

A car started running at a speed of 30 km/h and the speed of the car was increased by 2 km/h at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey.

Answer 1

Given that,

A car started running at a speed of 30 km/h and the speed of the car was increased by 2 km/h at the end of every hour.

Total time = 10 hours

The total distance covered by the car in the first 10 hours is

30+32+34+36+38+40+42+44+46+48

So, first term = 30

Last term = 48

We need to calculate the total distance covered by the car

Using formula of AP

$S_{n}=\dfrac{n}{2}(a+d)$

Where, n = number of terms

a = first term

d = last term

Put the value into the formula

$S_{n}=\dfrac{10}{2}(30+48)$

$S_{n}=390\ km$

Hence, The total distance covered by the car is 390 Km.