What was the original population of Dale and Ville.
Usamashaker, who is on a roll says,
"population: 4200.......9000"
Let x = original population of Ville.
Let x + 4800 = original population of Dale.
Now 3100 people move from Ville to Dale.
The new population of Ville = x - 3100
The new population of Dale = x + 4800 + 3100
Now the new population of Dale is eleven times the new population of Ville.
So now we have:
x + 4800 + 3100 = 11(x - 3100)
x + 7900 = 11x - 34100
7900 = 10x - 34100
42000 = 10x
4200 = x
Original population of Ville was 4200.
Original population of Dale was 9000.
When and where will the two trains meet?
Usamashaker, "at 8.00 pm at 30 miles from ville"
There are two trains travelling towards each other. The freight train is going 15 mph and the passenger train is going 85 mph. Their total speed, relative to each other, is 15 mph + 85 mph = 100 mph.
Use the formula Distance = Rate x Time to solve the problem. The distance is 200 miles and the rate is 100 mph. Let t be the time the two trains travel.
Now we have 200 miles = (100 mph)t.
So t = 200 miles / 100 mph. t=2 hours.
The trains meet at 8:00 pm.
Using the same formula (Distance = Rate X Time) we can now determine how far each train traveled.
Freight train. d = (15 mph)(2 hours). d=30 miles.
Passenger train. d = (85 mph)(2 hours). d=170 miles.
The trains meet 30 miles from Ville and 170 miles from Boro.
John, Matt, and Richard can build a garage in 6 days.
If Matt and Richard work together, they can build the garage in 9 days.
If John and Richard work together, they can build the garage in 8 days.
How many days would each man take to build the garage if they worked alone