A bus leaves a station traveling north at 70 kilometers per hour. Half an hour later a second bus leaves the same station traveling north at 80 kilometers per hour. How far
from the station will the buses meet?

280 km

Step-by-step explanation:

Given that a bus, say , leaves a station traveling north at speed of  70km/hour.

Half an hour later the second bus, say ,  leaves a station traveling north at speed of  70km/hour.

As, distance = speed x time,

so, the distance traveled by bus in 0.5 hours = 70 x 0.5 = 35 km.

Note that, both the buses are traveling in the same direction and when the second bus leaves the station, the first bus already covered a distance of 35 km.

Let the second bus took hours to meet the first bus and both the buses meet at a distance of km from the station.

The distance traveled by the first bus from the station, km

and the distance traveled by the second bus, km

Now, equation the equation (i) and (ii), we have

Hence, both the bus will meet at a distance of 280 km from the station.

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answer by yourhope:

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