An express train left station A towards station B with the speed of 80 km/hr.At the same time, a freight train left station B towards station A with the speed of 36 km/hr. Solution a) Let x be the distance between stations B and C.

An express train left station A towards station B with the speed of 80 km/hr.At the same time, a freight train left station B towards station A with the speed of 36 km/hr. Solution a) Let x be the distance between stations B and C.

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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.

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.

How many litres were milked from each cow each year?

Solution: Let x be the amount of milk the first cow produced during the first year.

b) By the time of the meeting at station C the freight train rode for $\frac \frac$ hours, i.e. Therefore it left station B at - (1 \frac) = 10 \frac$hours, i.e. So she increased her speed by 10 km/hr and she arrived at city B 36 minutes earlier than she planned. If she continued at the same speed she would be$ minutes late, i.e. So, she covered the distance between A and B in \frac$hr, and it was 36 min less than planned. When we equalize the expressions for the scheduled time, we get the equation:$\frac - \frac = 2 \frac \frac\frac = \frac\frac = \frac$x - 50 = 4x 200$ $x = 250$ So, the distance between cities A and B is 250 km.

the planned time on the road is $\frac - \frac$ hr. Problem 12To deliver an order on time, a company has to make 25 parts a day.

They decided to plant birches and roses at the school's backyard. If each girl planted 3 roses, there are $\frac$ girls in the class. Therefore $\frac 3(24 - x) = 24$ $x 9(24 - x) = 3\cdot 24$ $x 216 - 9x = 72$6 - 72 = 8x$$\frac = x$$x = 18$So, students planted 18 roses and 24 - x = 24 - 18 = 6 birches. While each girl planted 3 roses, every three boys planted 1 birch. Problem 14 A car left town A towards town B driving at a speed of V = 32 km/hr. Let us consider only the trip from C to B, and let$x\$ be the number of hours the driver spent on this trip.

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