One motorist travels 5 km.hr faster than another. They leave from the same place and travel in opposite directions. What is the rate of each if they are 195 km apart after 3 hours?
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et x be the rate of the slower motorist, in km/h.
Then the rate of the faster is (x+5) km/h, according to the condition.
In 3 hours, the slower motorist will cover the distance of 3x kilometers.
while the faster will cover 3(x+5) kilometers.
The total distance is the sum of partial distances, so your equation is
3x + 3(x+5) = 195
3x + 3x + 15 = 195
6x = 195 - 15 = 180 ====> x = 180%2F6 = 30.
Answer. The slower motorist rate is 30 km/h; that of the faster motorist is 35 km/h.
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