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One plane can travel 20 miles per hour faster than another. One of them goes 285 miles in the same time it takes the other to go 255 miles. What are their speeds?​

Respuesta :

Answer:

[tex]\huge\fbox{Answer ☘}[/tex]

[tex]\bold\blue{190 \:miles/hr \:and \:170 \:miles/hr}[/tex]

Step-by-step explanation:

Let the speed of faster plane be x

therefore ,

speed of slower plane = x - 20

As the time taken is same ,

[tex] \frac{285}{x} = \frac{255}{x - 20} \\ \\ \frac{57}{x} = \frac{51}{x - 20} \\ \\ 57(x - 20) = 51x \\ \\ 6x = 1140 \\ \\ x = 190[/tex]

therefore ,

faster plane travels at a speed of 190 miles/hr

while..

the slower plane travels at a speed = ‎ ‎ ‎ ‎ ‎ ‎( 190-20 ) miles/hr

‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎=> 170 miles/hr

hope helpful~

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