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?

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10-02-2018
Mathematics

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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?

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z804677 z804677 · Answer 1 · 2018-02-12T18:59:01+01:00

z804677 z804677

12-02-2018

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

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