Question

ПОМОГИТЕЕ ПОЖАЛУЙСТА!!!! З селища А прямою дорогою виїхав велосипедист. Коли він проїхав 16 км, за ним виїхав мотоцикліст зі швидкістю, що у 9 разів перевищувала швидкість велосипедиста, і наздогнав його у селищі Б. Яка відстань між селищами? ​

Answer 1

Ответ:

расстояние между А и Б  =S

скорость велосипедиста v

скорость мотоциклиста 9v

за одно и тоже время    t

велосипедист проехал  S-16 км

мотоциклист  S  км

 

t=(S-16)v = S/(9v)

(S-16)v = S/(9v)

S-16= S/9

9(S-16)= S

9S-16*9=S

8S=16*9

S=18 км

Answer 2

To find the distance between the two towns, we can use the information given about the cyclist and the motorcyclist. Let's break down the problem step by step.

Given information:

- The cyclist traveled 16 km. - The motorcyclist's speed was 9 times faster than the cyclist's speed. - The motorcyclist caught up with the cyclist in town B.

Approach:

Let's assume the cyclist's speed is x km/h. Since the motorcyclist's speed is 9 times faster, their speed would be 9x km/h.

To find the distance between the two towns, we need to determine the time it took for the motorcyclist to catch up with the cyclist. We can use the formula:

Distance = Speed × Time

Since the distance traveled by both the cyclist and the motorcyclist is the same when they meet, we can set up the following equation:

16 km (distance traveled by the cyclist) = (9x km/h) × t (time taken by the motorcyclist)

Simplifying the equation, we have:

16 = 9x × t

Now, we need to find the value of t (time taken by the motorcyclist) in terms of x (cyclist's speed).

To do this, we can rearrange the equation as follows:

t = 16 / (9x)

Calculating the distance between the towns:

To find the distance between the towns, we need to determine the distance traveled by the motorcyclist. We can use the formula:

Distance = Speed × Time

Substituting the values we have:

Distance = (9x km/h) × (16 / (9x))

Simplifying the equation, we have:

Distance = 16 km

Therefore, the distance between the towns is 16 km.

Please note that this calculation assumes constant speeds for both the cyclist and the motorcyclist throughout their journey.

I hope this helps! Let me know if you have any further questions.