Question

Расстояние между 2 селами равна 82,8 км. Из этих сел одновременно в одном направлении отправились грузовик и велосипедист, причем велосипедист двигался попереду.Через 6 ч после начала движения грузовик догнала велосипедиста.Якою была скорость велосипедиста, если скорость грузовика равнялась 27,2 км / ч?

Answer 1

27,2•6=163,2- проехал грузовик
163,2-82,8=80,4-проехал велосипедист
80,4:6=13,4

Answer 2

Problem Analysis

We are given that the distance between two villages is 82.8 km. A truck and a cyclist start simultaneously from one of the villages, with the cyclist moving ahead. After 6 hours, the truck catches up to the cyclist. We need to find the speed of the cyclist, given that the speed of the truck is 27.2 km/h.

Solution

Let's assume the speed of the cyclist is v km/h.

We know that the distance traveled by both the truck and the cyclist is the same when the truck catches up to the cyclist. Therefore, we can set up the following equation:

Distance traveled by the truck = Distance traveled by the cyclist

The distance traveled by the truck can be calculated using the formula: distance = speed × time. In this case, the time is 6 hours and the speed is 27.2 km/h. So, the distance traveled by the truck is:

Distance traveled by the truck = 27.2 km/h × 6 h

The distance traveled by the cyclist can be calculated using the formula: distance = speed × time. In this case, the time is 6 hours and the speed is v km/h. So, the distance traveled by the cyclist is:

Distance traveled by the cyclist = v km/h × 6 h

Since the distances traveled by both the truck and the cyclist are the same, we can set up the equation:

27.2 km/h × 6 h = v km/h × 6 h

Simplifying the equation, we get:

27.2 km/h = v km/h

Therefore, the speed of the cyclist is 27.2 km/h.

Answer

The speed of the cyclist was 27.2 km/h.

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