Problema Solution

Two buses leave the same station at 9:00 pm.One bus travels north at the of 30kph and the other travels east at 40 kph. How many kilometers apart are the buses at 10:00pm?

Answer provided by our tutors

the angle between the two buses is 90-degrees, so this is a right-triangle problem with sides determined by the distance travelled by each bus; each bus travels for 1 hour (9pm-10pm), so the northbound bus travels 30km and the eastbound bus travels 40km


their distance apart, 'D', is the hypotenuse of a right triangle:

D = sqrt(30^2 + 40^2) = 50


the two buses are 50km apart after travelling one hour