Question

Из двух городов A и B, расстояние между которыми равно 138 км, одновременно выехали две автомашины. Скорость первой машины равна 97 км/ч, а скорость второй машины — 51 км/ч. На каком расстоянии от города B первая машина догонит вторую и через какое время? Ответ: первая машина догонит вторую на расстоянии км от города B, и это случится через​

Answer 1

Ответ:

Объяснение:

Скорость сближения:

97-51=46 км/ч

Время, через которое 1-я машина догонит 2-ю:

138/46=3 ч

1-я машина догонит 2-ю на расстоянии от города B:

3·51=153 км

Answer 2

Problem Analysis

We are given two cities, A and B, with a distance of 138 km between them. Two cars start simultaneously from these cities, with the first car traveling at a speed of 97 km/h and the second car traveling at a speed of 51 km/h. We need to determine at what distance from city B the first car will catch up to the second car, and how much time it will take for this to happen.

Solution

To solve this problem, we can use the formula:

Distance = Speed × Time

Let's assume that the first car catches up to the second car after time 't' hours. At that time, the first car will have traveled a distance of 97t km, and the second car will have traveled a distance of 51t km.

Since the total distance between the two cities is 138 km, we can set up the following equation:

97t + 51t = 138

Simplifying the equation, we get:

148t = 138

Solving for 't', we find:

t = 138 / 148

Now, we can substitute the value of 't' back into the equation to find the distance from city B where the first car catches up to the second car:

Distance = 97t

Let's calculate the values.

Calculation

Using the formula Distance = Speed × Time, we can calculate the time it takes for the first car to catch up to the second car:

t = 138 / (97 + 51) = 138 / 148 = 0.9324 hours

Now, we can calculate the distance from city B where the first car catches up to the second car:

Distance = 97 × t = 97 × 0.9324 = 90.3148 km

Therefore, the first car will catch up to the second car at a distance of approximately 90.31 km from city B, and this will happen after approximately 0.9324 hours.

Answer

The first car will catch up to the second car at a distance of approximately 90.31 km from city B, and this will happen after approximately 0.9324 hours.