Question

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Answer 1

Let the speed of the train be x km/hr and the speed of the bus is y km/hr.

So according to question and using :

$Time = \frac{Distance}{Speed}$

Total distance =300 km

Roohi travels 60 km by train and 300−60=240 by bus in 4 Hours,

$\frac{60}{x } + \frac{240}{y} = 4$

and 100 km by train, 300−100=200 by bus, and takes 10 minutes more.

$\frac{100}{x} + \frac{200}{y} = 4 + \frac{10}{60 } = \frac{25}{6}$

Now, let

$\frac{1}{x} = u \: and \: \frac{1}{y} = v$

then 60u + 240v = 4.............eq 1

$100u + 200v = \frac{25}{6}.....eq 2$

Multiply eq1 by 5 and eq2 by 6 we get

300u+1200v=20..........eq3

600u+1200v=25...........eq4

Subtracting eq3 and eq4 we get

−300u=−5

$u = \frac{5}{300} = \frac{1}{60}$

Putting the value of u in eq1 we get

$60 \times \frac{1}{60} + 240v = 4 \\ 240v = 3 \\ v = \frac{3}{240} = \frac{1}{80}$

Now

$\frac{1}{x} = u = \frac{1}{60} \\ => x = 60$

and

$\frac{1}{y} = v = \frac{1}{80} \\ => y = 80$

Hence the speed of the train is 60 km/hr and the speed of the bus is 80 km/.

HOPE IT HELPS !!

MARK BRAINLIEST !!

Answer 2

Answer:

Solution :-

Let the speed of train and bus be u km/h and v km/h.        

       

According to the Question,                  

60/u + 240/v = 4 ... (i)                  

100/u + 200/v = 25/6 ... (ii)                  

Putting 1/u = p and 1/v = q in the equations, we get                  

⇒ 60p + 240q = 4 ... (iii)                  

⇒ 100p + 200q = 25/6                  

⇒ 600p + 1200q = 25 ... (iv)                  

Multiplying equation (iii) by 10, we get                  

⇒ 600p + 2400q = 40 .... (v)                  

Subtracting equation (iv) from (v), we get 1200q = 15                  

⇒ q = 15/200 = 1/80 ... (vi)                  

Putting equation (iii), we get                  

⇒ 60p + 3 = 4                  

⇒ 60p = 1                  

⇒ p = 1/60                  

⇒ p = 1/u = 1/60 and q = 1/v = 1/80                  

⇒ u = 60 and v = 80    

             

Speed of train = 60 km/h  

Speed of bus = 80 km/h.

HOPE THIS HELPS YOU

PLZZ MARK AS BRAINLIEST