Question

Rajat is running around a rectangular field with dimensions 750 m x 500 m while Sumit is running
around a square field with side 625 m. If Rajat takes 20 min to go round the field and Sumit takes
15 min, find who is running faster.
345 per m.​

Answer 1

Answer:

Both are running faster.....

Answer 2

Answer:

Sumit Runs Faster

Step-by-step explanation:

SPEED OF RAJAT :-

Area Covered = Perimeter of Rectangular Field

• Length(l) = 750m
• Breadth(b) = 500m
• Perimeter = ?

NOW :-

$Perimeter = 2 ( l + b ) \\ =) 2 ( 750 + 500) \\</p><p>=)2 \times 1250$

=)$\boxed{2500m}$

So :-

• Distance(s) = 2500m
• Time taken =)20 min = 20 x 60 = 1200 sec
• Speed = ?

Therefor :-

$Speed = \frac{Distance}{Time\:Taken} \\ =)\frac{2500}{1200}$

$=)\boxed{12.0833...m/s}$

Thus The Speed Of Rajat is 2.08333.....m/s

NOW THE SPEED OF SUMIT :-

Distance Travelled = Perimeter of Square

• Side = 625m

NOW :-

$Perimeter = 4\times Side \\ =)4 \times 625$

=)$\boxed{2500m}$

SO :-

• Distance = 2500m
• Time Taken =)15 min = 15 x 60 = 900sec
• Speed = ?

Therefore :-

$Speed = \frac{Distance}{Time\:Taken} \\ =)\frac{2500}{900}$

$=)\boxed{2.77777...m/s}$

Thus The Speed Of Sumit is 2.77777m/s

Hope it helped