Two planes, which are 3475 miles apart, fly toward each other. Their speeds differ by 45mph. If they pass each other in 5 hours, what is the speed of each?

Respuesta :

The speed of the slower plane  is 325 mph and the speed of the other plane is 370 mph.

It is required to find the speed of each.

What is average speed ?

Average speed is defined as the total distance travelled by the body in total time i.e. Average Speed=Total distance /Total time. It is a scalar quantity. Its unit is m/s.

Given:

Let x be the speed of the slower plane, in mph.

The the speed of the other plane is x +45 mph.

The distance between two planes decreases at the rate x + (x+45) = 2x + 45 mph.

we can write equation as,

3475 / 2x+45 =  5

3475 = 10x+225

10x = 3250

x = 325

The speed of the slower plane = x = 325  mph.

The the speed of the other plane is x +45=325 +45 = 370 mph.

Therefore, the speed of the slower plane  is 325 mph and the speed of the other plane is 370 mph.

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