Question

the speed of salma is 1m/ sec more than the speed of anik .in a 180 m run salma reaches 2 secs before than anik .let us calculate the speed anik in m sec.

Answer 1

are u from wb board??

Answer 2

Answer:

Step-by-step explanation:

speed of anik be x

∴if the speed of anik is x than salma's be x+1

and the distance is 180m

∴ as we know that speed=distance/time

∴salma's speed =180/x+1-------(1)

and,

∴ anik's speed will be 180/x--------(2)

• ATQ

⇒180/x+1-180/x=2

⇒180x+180-180x/x(x+1)=2

⇒180=2x²+2x

⇒2x²+2x-180=0

⇒x²+x-90=0

⇒x²+10x-9x-90=0

⇒x(x+10)-9(x+10)=0

⇒(x-9)(x+10)=0

∴x=9, ∴x=-10

∴the answer will be 9