SOLUTION: A car travels from Morena to Nadina in seven hours. On the return trip the speed is increased by 7 mph and the trip takes six hours. How far apart are the towns Morena and Nadina?

Question 91842: A car travels from Morena to Nadina in seven hours. On the return trip the speed is increased by 7 mph and the trip takes six hours. How far apart are the towns Morena and Nadina?
Answer by psychopsibilin(3) (Show Source): You can put this solution on YOUR website!
Let the distance be X miles and the speed of the car on the forward journey be y mph. Hence time taken= x/y hours. On the return journey, the speed is increased by 7 mph, hence new speed is y+7 mph. Hence time taken = x/(y+7) hrs= 6 hrs
from the 1st eq, we get x=7y: from the second we get x= 6y+42: hence 6y+42=7y
hence y=42. subsituring the value of y in eq 1, we get x(distance)=294 miles
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