Question

Шлях між двома містами автомобіль подолав за 1,5 год, а мотоцикліст - за 2 год. Знайдіть відстань між містами, якщо швидкість мотоцикліста на 18 км/год менша від швидкості автомобіля.

Answer 1

Ответ:  108 км.

Пошаговое объяснение:

Путь между двумя городами автомобиль преодолел за 1,5 часа, а мотоциклист-за 2 часа. Найдите расстояние между городами, если скорость мотоциклиста на 18 км/ч меньше скорости автомобиля.

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Решение.

х км/час - скорость мотоцикла, тогда

х+18 км/час - скорость автомобиля

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Расстояние S = vt = 2x км

или

S=1.5(x+18) км.

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2x =  1.5(x+18);

2x=1.5x+ 27;

2x-1.5x=27;

0.5x=27;

x= 54 км/час - скорость мотоцикла.

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S = 2*54 = 108 км - расстояние между городами.

Answer 2

Calculating the Distance Between Two Cities

To find the distance between two cities, we can use the formula:

distance = speed × time

Given that the car covered the distance in 1.5 hours and the motorcyclist covered it in 2 hours, and the motorcyclist's speed is 18 km/h less than the speed of the car, we can calculate the distance between the two cities.

First, let's denote: - Speed of the car as C - Speed of the motorcyclist as M - Time taken by the car as 1.5 hours - Time taken by the motorcyclist as 2 hours

We know that distance = speed × time. Therefore, the distance covered by the car is 1.5C and the distance covered by the motorcyclist is 2M.

Calculating the Speed of the Motorcyclist

Given that the motorcyclist's speed is 18 km/h less than the speed of the car, we can express the speed of the motorcyclist in terms of the speed of the car:

M = C - 18

Solving for the Distance

Now, we can use the information to solve for the distance between the two cities.

The distance covered by the car is equal to the distance covered by the motorcyclist:

1.5C = 2M

Substitute M = C - 18 into the equation:

1.5C = 2(C - 18)

Solve for C:

1.5C = 2C - 36

0.5C = 36

C = 72

Now that we have the speed of the car, we can find the speed of the motorcyclist:

M = 72 - 18 = 54

Calculating the Distance

Finally, we can calculate the distance between the two cities using the speed of the car:

Distance = Speed × Time

Distance = 72 km/h × 1.5 hours

Distance = 108 km

So, the distance between the two cities is 108 kilometers.