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one plane can travel 30 miles per hour faster than another. one of them goes 435 miles in the same time it takes the other to go 390 miles. what are their speeds?

Sagot :

varshamittal029

The speeds of the planes are 260 miles/hr and 290 miles/hr respectively.

We know that the velocity or speed is the ratio of total distance to time taken.

Let speed of another plane be x miles per hour.

Now, one plane can travel 30 miles per hour more than previous one.

So the speed of this second plane = x+30 miles per hour.

Time taken by first plane to cover 390 miles = 390/x

Time taken by second plane to cover 435 miles = 435/(x+30)

According to question the time taken is equal. So,

390/x = 435/(x+30)

26/x = 29/(x+30)

26x+780 = 29x

29x-26x = 780

3x = 780

x = 780/3

x = 260

The speed of first plane = 260 miles/hour

The speed of second plane = 260+30 = 290 miles/ hour

Hence the speeds of the planes are 260 miles/hr and 290 miles/hr respectively.

To know more about Speed refer to:

https://brainly.com/question/13943409

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