Question

Roohi travels 300km to herr home
Partly by train and partly by bus. She take 4hours if she travel 60km by train and the remaining by bus. If she travel 100km by train and the remaining by bus, she take 10 min longer. Find the speed of train and bus seperately

Answer 1

Answer:

60/x+240/y= 4

100/x+ 200/y= 4.1/6 = 25/6

let 1/x=a and 1/y=b

(60a+240b=4) 10

(100a+200b=25/6) 6

600a+ 2400b=40

600a+1200b=25/6

1200b=15

b=15/1200

b=1/80................(1)

60a+240/80=4

60a+3=4

60a=1

a=1/60.........(2)

speed of train=60km/h

speed of bus=80km/h

Answer 2

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$\bf{https://brainly.in/question/37581179}$

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

According to the question,

$\frac{60}{u} + \frac{240}{v} = 4$....(i)

$\frac{100}{u} + \frac{200}{v} = 4 + \frac{10}{60} = \frac{25}{6}$....(ii)

Let $\frac{1}{u} = p\: and \frac{1}{v} = q$

The given equations reduce to:

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

100p + 200q = $\frac{25}{6}$

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

Multiplying equation (iii) by 10, we obtain:

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

Subtracting equation (iv) from equation (v), we obtain:

1200q = 15

q = $\frac{15}{1200} = \frac{1}{80}$

Substituting the value of q in equation (iii), we obtain:

60p + 3 = 4

60p = 1

p = $\frac{1}{60}$

:. p = $\frac{1}{u} = \frac{1}{60}$, q = $\frac{1}{v} = \frac{1}{80}$

u = 60 km/h , v = 80 km/h

Thus, the speed of train and the speed of bus are 60 km/h and 80 km/h respectively.

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