An express train left station A towards station B with the speed of 80 km/hr.
An express train left station A towards station B with the speed of 80 km/hr.Tags: Turas Scoile EssayPhd Thesis ThanksJimi Hendrix Research PaperMarcus Aurelius Meditations EssayGraduate School Creative WritingMath Story Problem Solver
Problem 9The first year, two cows produced 8100 litres of milk.
The second year their production increased by 15% and 10% respectively, and the total amount of milk increased to 9100 litres a year.
They met at station C at 12 pm, and by that time the express train stopped at at intermediate station for 10 min and the freight train stopped for 5 min. Then the distance from station C to station A is $(148 - x)$ km.
By the time of the meeting at station C, the express train travelled for $\frac \frac$ hours and the freight train travelled for $\frac \frac$ hours.
How many hectares a day would one tractor plough then?
Solution: If each of $ tractors ploughed 0$ hectares a day and they finished the work in $ days, then the whole field is: 0\cdot 6 \cdot 4 = 720 \cdot 4 = 2880$ hectares.
When 6 tractors work together, each of them ploughs 120 hectares a day.
If two of the tractors were moved to another field, then the remaining 4 tractors could plough the same field in 5 days.
So 00 \frac\cdot x \frac \cdot (8100 - x) = 9100$ Therefore 00 \fracx \frac(8100 - x) = 9100$$\fracx = 190$$x = 3800$Therefore, the cows produced 38 litres of milk the first year, and 70$ and 30$ litres of milk the second year, respectively.
Problem 10The distance between stations A and B is 148 km.