Question

A car covers a distance of 100 km in first two hours, 120 km in next 1 hour and 32 km in next 1/2 hour. Convert the speed into m/sec.


Please explain step by step I will mark as brainliess then. Please

Answer 1

$\huge{\underline{\purple{\rm{Solution:}}}}$

$\large{\underline{\red{\rm{Given:}}}}$

Distance covered in 1st 2 hours=100km

Distance covered in next 1st hours=120km

Distance covered in next 1/2 hours=32km

$\large{\underline{\red{\rm{Time\: taken:}}}}$

• In 1st state=2 hours
• In 2nd state=1 hours
• In 3rd state=1/2 hours

$\small{\underline{\red{\rm{Now,\: calculate\: Total\: Distance\:and\:time:}}}}$

$\rm{\implies Total\: Distance=100+120+32}$

$\rm\green{\implies Total\: Distance=252\:km}$

$\rm{\implies Total\: Time=2+1+0.5}$

$\rm\green{\implies Total\: Time=3.5\: hours}$

• $\rm{\implies Using\: formula\:for\: speed}$

$\small{\boxed{\red{\rm{Speed=\dfrac{Distance}{Time}:}}}}$

$\rm{\implies Speed=\dfrac{252}{3.5}}$

$\rm{\implies Speed=\dfrac{252*10}{35}}$

$\rm{\implies Speed=\dfrac{2520}{35}}$

$\rm\green{\implies Speed=72\:km/h}$

$\rm{\implies Now,\: convert\: speed\:in\:m/s}$

• To convert speed km/h into m/s
• we have to multiple by 5/18

$\rm{\implies Speed=\dfrac{5}{18}*72}$

$\rm\green{\implies Speed=20\:m/s}$

Hence,

$\rm\red{\implies The\:Speed\:of\:car=20\:m/s}$

Answer 2

GiVeN :-

• Distance travelled in first 2 hours = 100 km

• Distance travelled in next 1 hour = 120 km

• Distance travelled in next 1/2 hour = 32 km

To FiNd :-

• Speed of the car in m/s.

SoLuTiOn:-

We know that,

$Speed = \frac{Total \: Distance \: travelled}{Total \: Time \: Taken}$

So,

$\implies \: Speed \: = \frac{100 + 120 + 32}{2 + 1 + 0.5} \\ \\ \implies \: \frac{252}{3.5} = \frac{36}{0.5} = 72$

Now,

Speed = 72 km/h

And

We know that when we have to change km/h in m/s we have to multiply it by 5/18 and from m/s in km/h we have to multiply it by 18/5.

So,

$</u></em></strong><strong><em><u>S</u></em></strong><strong><em><u>peed \: = 72 \times \frac{5}{18} = 20m {s}^{ - 1}$