# Mathematics Problem Solving With Solution

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.

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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.

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