Math, asked by mansiparzapati, 6 months ago

Rajat travel 300 km to his home partly by train and partly by bus It takes 4 hrs if hi travel 60 km by bus and remaining by train if he travel 100 km by bus and remain by train he takes 10 minutes longer find the speed of train and that of bus​

Answers

Answered by manashputel8
0

Answer:

X =60 and y= 80

Step-by-step explanation:

This is the answer but the formula is two long so I can't explain you

Answered by BrainlyBAKA
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

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The given equations reduce to:

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

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

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

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Multiplying equation (iii) by 10, we obtain:

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

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

1200q = 15

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

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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

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

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