Two buses leave a station at the same time and travel in opposite directions. one bus travels 16 / kmh faster than the other. if the two buses are 880km apart after 5 hours, what is the rate of each bus?

Let the speed of the slower bus be equal to x km/h

let the speed of the faster bus be equal to x+16 km/h

in one hour they are a further 2x+16 km apart

therefore after 5 hours they are 5 (2x+16) = 10x + 80 km apart

10x + 80 = 880 km

10x = 800km

x = 80

x + 16 = 96

therefore, the speed of the slower bus is 80 km/h whereas the speed of the second bus is 96 km/h