Question

A racing car covered 600 Km in 2hours 30minutes. Find its speed in metre per second. how much distance will the car cover in 30 second?​

Answer 1

Answer:

2 km

Step-by-step explanation:

speed is equal to distance by time

speed = 600÷150

speed = 4km/minute

(1 minute = 60 secs)

4km = 60 secs

therefore 30 secs = 2km ( 4 ÷ 2)

Answer 2

Answer:

Speed in m/s = 66.65 m/s (approx)

Distance travelled by car in 30s = 333.25 m

Step-by-step explanation:

Given :

Distance covered by car = 600 km

Time taken = 2 hr 30 mins (150 mins)

To find :

(i) Speed of car in m/s .

(ii) Distance travelled by car in 30 seconds

Concept :

First find the speed of the car in km/hr after that find the speed in m/s .

So , to find the speed in km/hr use this equation -:

$\boxed{\sf{S_{k}=600km\div\dfrac{150mins}{60min}}}$

After that to find the speed in m/s use this formula -:

$\boxed{\sf{S_{m}=\dfrac{5}{18}\times\:S_{k}}}$

Where,

$\sf{S_{m}=Speed\:in\:m/s}$

$\sf{S_{k}=Speed\:in\:km/hr}$

______________________________________

And to find the distance travelled by the car in 30 seconds use this formula -:

$\boxed{\sf{D=S\:\times\:T}}$

Where,

D = Distance

S = Speed

T = Time

Solution :

Speed in m/s -:

First in km/hr -:

$\Rightarrow\sf{S_{k}=600\div\dfrac{\cancel{150}min}{\cancel{60}min}}$

$\Rightarrow\sf{S_{k}=\cancel{600}km\times\dfrac{2}{\cancel{5}}}$

$\Rightarrow\sf{S_{k}=120\times2}$

$\Rightarrow\sf{S_{k}=240km/hr}$

Now , speed in m/s -:

$\Rightarrow\sf{S_{m}=\dfrac{5}{18}\times240km/hr}$

$\Rightarrow\sf{S_{m}=5\times13.33(approx)}$

$\Rightarrow\sf{S_{m}=66.65m/s(approx)}$

Speed of car in m/s in 66.65 m/s (approx) .

Distance travelled by car in 30 seconds -:

$\Rightarrow\sf{D=66.65\times30s}$

$\Rightarrow\sf{D=333.25m(approx)}$

Distance travelled by the car is 333.25 m (approx) .