Question

Відстань між двома селами дорівнює 82,8 км. З цих сіл одночасно в одному напрямі вирушили вантажівка і велосипедист, причому велосипедист рухався попереду. Через 6 год після початку руху вантажівка наздогнала велосипедиста. Якою була швидкість велосипедиста, якщо швидкість вантажівки дорівнювала 27,2 км за год ?

Answer 1

1)82,8:6=13,8 км/год швидкість наближення
2)27.2-13.8=13,.4 км/год швидкість велосипедиста
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Answer 2

Calculation of the Cyclist's Speed

To find the speed of the cyclist, we can use the formula:

Speed = Distance / Time

Given that the distance between the two villages is 82.8 km and the speed of the truck is 27.2 km/h, we need to determine the time it took for the truck to catch up to the cyclist.

Let's assume that the cyclist's speed is represented by 'x' km/h.

The time it took for the truck to catch up to the cyclist can be calculated using the formula:

Time = Distance / Relative Speed

The relative speed is the difference between the truck's speed and the cyclist's speed.

Therefore, the time it took for the truck to catch up to the cyclist is:

Time = 82.8 km / (27.2 km/h - x km/h)

According to the problem, this time is equal to 6 hours.

Now we can set up the equation:

6 = 82.8 / (27.2 - x)

To solve for 'x', we can cross-multiply and simplify the equation:

6(27.2 - x) = 82.8

163.2 - 6x = 82.8

6x = 163.2 - 82.8

6x = 80.4

x = 80.4 / 6

x ≈ 13.4 km/h

Therefore, the speed of the cyclist was approximately 13.4 km/h.