Question

In a race of 300m,x beats y by 60 m or 5 seconds. Find the time taken by x to complete the race and speed of y

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\:\:$

$\green{\underline \bold{Given :}}$

$\:\:$

• Length of race = 300 m
• 'x' beats 'y' by 60 m or 5 seconds

$\:\:$

$\red{\underline \bold{To \: Find:}}$

$\:\:$

• Time taken by 'x' to complete race.
• Speed of 'y'

$\:\:$

$\large{\orange{\underline{\tt{Solution :-}}}}$

$\:\:$

Here it is given that 'x' beats 'y' by 60 m or 5 seconds.

Which means 'x' was travelling 60 m in 5 seconds

$\:\:$

$\underline{\bold{\texttt{Let us find the speed of 'x'}}}$

$\:\:$

$\underline{\bold{\texttt{We know that,}}}$

$\:\:$

$\purple\longrightarrow$ $\sf Speed = \frac { Distance } { Time }$

$\:\:$

$\sf \implies Speed = \frac { 60 } { 5 }$

$\:\:$

$\sf \implies Speed = 12 m/s$

$\:\:$

$\underline{\bold{\texttt{Time taken by 'x' to finish race}}}$

$\:\:$

$\red\longrightarrow$ $\sf Speed = \frac { Distance } { Time }$

$\:\:$

$\sf \implies 12 = \frac { 300 } { Time }$

$\:\:$

$\sf \boxed{ Time \: taken \: by \: 'x' = 25 seconds}$

$\:\:$

$\underline{\bold{\texttt{Time taken by 'y' to complete race :</p><p>}}}$

$\:\:$

$\rm 25 + 5 = 30seconds$

$\:\:$

$\underline{\bold{\texttt{Now speed of 'y'}}}$

$\:\:$

$\red\longrightarrow$ $\sf Speed = \frac { Distance } { Time }$

$\:\:$

$\sf \implies Speed = \frac { 300 } { 30 }$

$\:\:$

$\sf \boxed{ Speed \: of \: 'y' \: = 10m/second }$

Answer 2

Concept

The speed formula can be defined as the rate at which an object covers some distance.The formula for the speed of a given body can be expressed as,  $Speed=\frac{Distance}{Time}$ .

Given

We have given the distance 300 m and x beats y by 60 m or 5 seconds.

Find

We are asked to determine the time taken by x to complete the race and speed of y .

Solution

As x wins by 60 meter to y that means when x completes 300 m y would have covered distance $=300-60=240m$  

Now x beats y by 5 secs. This means y takes 5 more seconds to complete the race

As y is 60 m behind when x completes the race, so y takes 5 secs to complete 60 m , so speed of y can be calculated as follows

$Speed=\frac{Distance}{Time}\\\\=\frac{60}{5} \\=12ms^-^1$

Total time of y to complete 300 m race $=\frac{Distance}{Speed}$

                         $=\frac{300}{12} \\\\=25s$

Total time of x to complete 300 m race $=25-5=20s$

Therefore, time taken by x to complete the race is 20s and speed of y is 12 m\s

#SPJ2