4. solution: let the population of another village be x.
x+(2x-3)=834
x+2x-3=834
3x=834+3
3x=837
x=279
Larger villages: 934-279=555 (people)
5. solution: suppose it took B X to climb to the top of the mountain.
10(x+30)= 15x
10x+300= 15x
10x- 15x=-300
-5x=-300
x=60
A's time is: 60+30=90 minutes.
The height of the mountain is 60 times 15=900 meters.
6. solution: let the speed of electric locomotive be x km/h.
1/2x+ 1/2(5x+20)= 298
1/2x+5/2x+ 10=298
3x+ 10=298
3x=288
x=96
The speed of maglev train is 96 times 5+20=500.
7. Solution: The windless wind speed is X, the downwind wind speed is (x+24), and the upwind wind speed is (x-24).
2 hours and 50 minutes = 17/6 hours
17/6(x+24)=3(x-24)
17/6x+68=3x-72
17/6x-3x=-68-72
- 1/6x=- 140
x=840
Range: 3X(840-24)
=3X8 16
=2448 km
I typed it word for word, and 100% was correct, because I got 100 for this assignment. Hehe'