Abdul traveled 300km by train and 200km by taxi, it took him 5 hours 30minutes But if he travel 260 km by train and 240 km by bus he takes 6 minutes longer Find the speed of the train and of the taxi

Explanation

Let the speed of train be {x} {} {km} / {hr} and speed of taxi be {y} {km} / {hr}.

It is known that , Time` =frac{ { Distance }}{ { Speed }}`

`5 {hr} 30 minutes =5+frac{30}{60}=5+frac{1}{2}=frac{11}{2} {hrs}`

`5 {hr} 36 minutes =5+frac{36}{60}=5+frac{6}{10}=frac{28}{5} {hrs}`

From the given information, we have,

`frac{300}{x}+frac{200}{y}=frac{11}{2} and frac{260}{x}+frac{240}{y}=frac{28}{5}`

Putting `frac{1}{{x}}={p} and frac{1}{{y}}={q}, `we have


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