Question

4. Із містечка Тернівка одночасно в протилежних напрямках виїхали Д велосипедистки. Одна з них рухається зі швидкостью 15,6 км/гс а швидкість іншої була на 0,7 км/год більша. Через скільки годин відста між велосипедистками буде 44,66 км?

Answer 1

Ответ:

через 1,4 години відстань між велосипедистками буде 44,66 км

Answer 2

To find the time it takes for the two cyclists to be 44.66 km apart, we can set up an equation based on their speeds and the given information.

Let's assume that the first cyclist's speed is x km/h. According to the problem, the second cyclist's speed is 0.7 km/h faster, so their speed would be (x + 0.7) km/h.

We can use the formula: distance = speed × time to find the time it takes for the two cyclists to be 44.66 km apart.

For the first cyclist: distance = speed × time 44.66 = 15.6 × time

For the second cyclist: distance = speed × time 44.66 = (x + 0.7) × time

Now we have two equations: 1. 44.66 = 15.6 × time 2. 44.66 = (x + 0.7) × time

To solve these equations, we can use substitution. We can solve equation 1 for time and substitute it into equation 2.

From equation 1, we have: time = 44.66 / 15.6

Substituting this value into equation 2, we get: 44.66 = (x + 0.7) × (44.66 / 15.6)

Simplifying the equation: 44.66 = (x + 0.7) × 2.8641

Expanding the equation: 44.66 = 2.8641x + 2.00487

Rearranging the equation: 2.8641x = 44.66 - 2.00487 2.8641x = 42.65513

Dividing both sides by 2.8641: x = 42.65513 / 2.8641

Calculating the value of x: x ≈ 14.89

Therefore, the first cyclist's speed is approximately 14.89 km/h.

Now, we can substitute this value back into equation 1 to find the time: time = 44.66 / 15.6 time ≈ 2.86 hours

So, it will take approximately 2.86 hours for the two cyclists to be 44.66 km apart.

Please note that the values have been rounded for simplicity.