A train leaves Miami at 3:00 PM. A second train leaves the same city in the same direction at 5:00 PM. The second train travels 50mph faster than the first. If the second train overtakes the first at 7:00 PM, what is the speed of each of the two trains?

the speed of the first train is 50 mph.

The speed of the second train is 100 mph.

Step-by-step explanation:

Let x represent the speed of the first train. The second train travels 50mph faster than the first. It means that the speed of the second train is (x + 50) mph.

Distance = speed × time

If the second train overtakes the first at 7:00 PM, it means that both trains covered the same distance by 7:00 PM. The first train left Miami at 3:00PM. Time spent by the first train is 7 - 3 = 4 hours

Distance covered by the first train in 4 hours is 4x

The second train left at 5:00 PM. Time spent by the second train is 7 - 5 = 2 hours

Distance covered by the second train in 2 hours is 2(x + 50)

Therefore,

4x = 2(x + 50)

4x = 2x + 100

4x - 2x = 100

2x = 100

x = 100/2

x = 50 mph

The speed of the second train is

x + 50 = 50 + 50 = 100 mph

40 x 50 = 2000

step-by-step explanation:

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!