Question

Мотоциклист проехал 180 км. Какое расстсояние может проехать за то же время велосипедист если его скорость составляет 1/4 скорости мотоциклиста? Какова скорость мотоциклиста , если скорость велосипедиста 15км/ч????

Answer 1

1) x-скорость велосипедиста
4x-скорость мотоциклиста
t=180÷4x
s=x·180÷4x
s=180x÷4x
s=45 (км)-проедет мотоциклист
2) 15·4=60 (км/ч)-скорость мотоциклиста

Answer 2

Calculation of Distance for the Cyclist

To determine the distance the cyclist can travel in the same amount of time as the motorcyclist, we need to compare their speeds.

Given that the speed of the cyclist is 1/4 of the speed of the motorcyclist, and the motorcyclist traveled 180 km, we can calculate the distance the cyclist can travel using the formula:

Distance = Speed × Time

Let's denote the speed of the motorcyclist as S and the speed of the cyclist as 1/4S. The time taken by both of them will be the same.

For the motorcyclist: 180 km = S × Time

For the cyclist: Distance = (1/4S) × Time

Since the time is the same for both, we can equate the two equations:

180 km = (1/4S) × Time

Now we can solve for the distance traveled by the cyclist.

Calculation of the Motorcyclist's Speed

To find the speed of the motorcyclist, we are given that the speed of the cyclist is 15 km/h. We can use the same formula as before:

Distance = Speed × Time

Let's denote the speed of the motorcyclist as S and the speed of the cyclist as 15 km/h. The time taken by both of them will be the same.

For the motorcyclist: Distance = S × Time

For the cyclist: 15 km = 1/4S × Time

Since the time is the same for both, we can equate the two equations:

S × Time = 1/4S × Time

Now we can solve for the speed of the motorcyclist.

Solution

To find the distance the cyclist can travel in the same amount of time as the motorcyclist, we can substitute the value of the distance traveled by the motorcyclist (180 km) into the equation:

180 km = (1/4S) × Time

Simplifying the equation, we get:

180 km = (1/4S) × Time

To find the speed of the motorcyclist, we can substitute the value of the cyclist's speed (15 km/h) into the equation:

15 km = 1/4S × Time

Simplifying the equation, we get:

15 km = 1/4S × Time

Now we can solve these equations to find the distance the cyclist can travel and the speed of the motorcyclist.