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FrozenT [24]
2 years ago
9

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?​
Mathematics
1 answer:
Hatshy [7]2 years ago
7 0

Answer:

\huge\fbox{Answer ☘}

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

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 ,

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

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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