Question

Из двух пунктов выехали одновременно навстречу друг другу два велосипедиста. Первый велосипедист может проехать расстояние между пунктами за 6 часов, а второй за 5 часов. Какая часть пути будет отделять велосипедистов друг от друга через 2 часа после их выезда

Answer 1

S=S
V1=s/t=S/5
V2=s/t=S/8
S1=V1*t=S/5*3=0.6*S
S2=V2*t=S/8*3=0.375*S
0.6-0.375=0.225 часть пути которое отделять их

Answer 2

Problem Analysis

Two cyclists start simultaneously from two points and are moving towards each other. The first cyclist can cover the distance between the points in 6 hours, while the second cyclist can cover the same distance in 5 hours. We need to determine the distance that separates the two cyclists after 2 hours from their departure.

Solution

To find the distance that separates the two cyclists after 2 hours, we need to calculate the distance each cyclist has covered in 2 hours.

Let's assume the distance between the two points is D.

The first cyclist can cover the distance D in 6 hours, so their speed is D/6 per hour.

Similarly, the second cyclist can cover the distance D in 5 hours, so their speed is D/5 per hour.

After 2 hours, the first cyclist will have covered (D/6) * 2 distance, and the second cyclist will have covered (D/5) * 2 distance.

The distance that separates the two cyclists after 2 hours is the difference between the distances covered by each cyclist.

Let's calculate it:

Distance covered by the first cyclist after 2 hours = (D/6) * 2

Distance covered by the second cyclist after 2 hours = (D/5) * 2

The distance that separates the two cyclists after 2 hours = (D/6) * 2 - (D/5) * 2

Simplifying the expression:

(D/6) * 2 - (D/5) * 2 = (2D/6) - (2D/5) = (10D - 12D) / 30 = -2D / 30 = -D/15

Therefore, the distance that separates the two cyclists after 2 hours is -D/15.

Since the distance cannot be negative, we can conclude that the two cyclists will be D/15 apart after 2 hours.

Answer

After 2 hours from their departure, the two cyclists will be D/15 apart.

Please note that the actual value of D is not provided in the question, so we cannot determine the exact distance that separates the two cyclists.