The cyclist, moving at a speed of 10 km / h, covered the path between the villages in 4 hours.

The cyclist, moving at a speed of 10 km / h, covered the path between the villages in 4 hours. How long will it take to cover the same path if it moves at a speed of 5 km / h.

Method I.
The cyclist rode for 4 hours at a speed of 10 km / h, let’s calculate the distance he traveled:
4 * 10 = 40 (km) – the distance between the villages.
If he drives at a speed of 5 km / h for a distance of 40 km, then he will need 40: 5 = 8 (hours).

Method II.
This is the inverse proportion (the faster the cyclist, the less travel time).
We make the proportion:
4 hours = 10 km / h.
x hours = 5 km / h.
4 / x = 5/10.
x = 4 * 10: 5 = 8 (hours).
Answer: It takes a cyclist 8 hours.