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A long-haul truck driver travels through three different states.

In the first state, the driver travels at an average speed of \(20x\) mph for \(3\) hours.

In the second state, the driver travels at an average speed of \(75\) mph for \(2y\) hours.

In the third state, due to more relaxed speed limits compared to the second state, the driver travels at an average speed of \(90\) mph for \(\frac{5}{3}\) hours.

The total distance covered by the truck driver is \(600\) miles.

Total distance covered = 20x*3 + 75*2y + 90*5/3 = 60x + 150y + 150 = 600
60x + 150y = 450
2x + 5y = 15

y = (15-2x)/5

x = 1; y = 2.6; Not feasisble
x = 3; y = 1.8; Not feasible
x = 5; y = 1; Feasible

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