Question

class 10 maths solve it​

Answer 1

Answer:

Step-by-step explanation:

Q1

Let one pipe takes X minutes to fill the pipe

Another be X + 5 minutes

Then

1/X + 1/X+5 = 1/6. Speed = distance/time

X+5 +X/X square +5X = 1/6

(2X+5)6 = X square +5X

12X +30 = Xsquare +5X

0= Xsquare +5X-12X+30

0=Xsquare -7X +30

0=X square +3X-15X +30

0= X(X+3)-10(X+3)

0=(X-10)(X+3)

X= 10,-3

Time can be negative

Hence one pipe flows in 10 minutes

Another in 10+5 = 15minutes

Q2

Total distance = 240 km

let speed = x km/hr

therefore time = 240/x hrs

new speed = x-12 km/hr

therefore time = 240/x-12 hrs

given difference = 1 hr

therefore 240/x-12 - 240/x=1

240x-240x+2880/x2-12x =1

2880 = x2-12x

x2-12x-2880=0

by completing the squares

x=60 or x = -48

speed is non negetive 

therefore original speed of train = 60 km/hr

Hope it helps!

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