Question

Given mlln, find the value of X.
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Answer 1

65°

Explanation:

180-115=65

Have a great day

Answer 2

`\displaystyle\Huge \bf\red{\underline{\underline{ANSWER}}} </p><p>`

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

`\huge \boxed{\sf{Time = (Distance)/(speed)}} </p><p>`

Total distance =300 km

Mansi travels 60 km by train and 300−60=240 by bus in 4 minute,

`\bf(60)/(x) + (240)/(y) = \red4</p><p>`

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

`\bf {(100)/(x) + (200)/(y) = 4 + (1)/(6) = (24 + 1 )/(6) = \purple{(25)/(6)}}</p><p>`

Now, let

`\bf\color{blue}{(1)/(x) = a}`

and.

`\bf \color{blue}{ (1)/(y) = b }`

`\bfthen 60a+240b=4.............(1)`

`\bf100a+200b=25/6----(2)`

multiply (1) by 5 and (2) by 6 we get

`\bf300a+1200b=20..........(3)`

`\bf600a+1200b=25...........(4)`

Subtracting (3) and (4) we get

`\bf \green{−300a=−5}`

`\bf{a = (1)/(60)}`

Putting the value of a in (1) we get

`\bf{60 * (1)/(60) + 240b = 4}`

`</p><p> \bf240b = 3 \\ \\ \bf b = (1)/(80)`

Now ,

`\bf(1)/(x) = a \\ \\ \bf \red{a = 60 km/h \: \blue \bigstar}`

`\bf(1)/(y) = b \\ \\ \bf \red {b = 80 km/h \: \pink \bigstar}`

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