sonia travels 300km to her home partly by train and partly by bus she takes 4hours if she travels 60 km by train and remaining by bus if she travels 100 km by train and the remaining by bus she takes 10 minutes longer find the speed of the train and the bus separately
Answers
Answer:
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Step-by-step explanation:
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
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