A cyclist can travel from the station to the village in 25 minutes. If he increases his speed by 40 m.min then it will spend

| January 13, 2021 | education

A cyclist can travel from the station to the village in 25 minutes. If he increases his speed by 40 m.min then it will spend 20 minutes on the road. What is the distance from the station to the village in meters

1. Let the speed of the cyclist = x m / min, if he increases the speed, then it is (40 m / min + x).
2. Let us write down the expression for the path at different speeds, according to the formula S = t * v, where S is the path, v is the speed, t is the time:
S1 = x * 25,
S2 = (x + 40) * 20.
3. Since S1 = S2, write the equation and find x:
25x = 20 * (40 + x),
25x = 800 + 20x,
25x – 20x = 800,
5x = 800,
x = 800/5,
x = 160 m / min.
4. Find the distance S1 = S2:
S = 25 * 160 = 4000 m.
Answer: 4000 meters from the village to the station.



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