Question

З одного міста в протилежних напрямках виїхали одночасно два автомобілі. Швидкість одного з них дорівнювала 74 км/год , що на 8 км/год більше, ніж швидкість другого. Якою буде відстань між ними через 7 год після початку руху ?

Answer 1

(74-8+74)*7=140*7=980 км

Answer 2

Problem Analysis

We have two cars that start simultaneously from the same city and travel in opposite directions. The speed of one car is 74 km/h, which is 8 km/h faster than the speed of the other car. We need to find the distance between them after 7 hours.

Solution

To find the distance between the two cars after 7 hours, we need to calculate the distance each car has traveled and then find the difference between their distances.

Let's assume the speed of the slower car is x km/h. Therefore, the speed of the faster car is x + 8 km/h.

To calculate the distance traveled by each car, we can use the formula:

Distance = Speed × Time

For the slower car, the distance traveled after 7 hours is:

Distance of slower car = x km/h × 7 hours

For the faster car, the distance traveled after 7 hours is:

Distance of faster car = (x + 8) km/h × 7 hours

To find the distance between the two cars after 7 hours, we subtract the distance traveled by the slower car from the distance traveled by the faster car:

Distance between the two cars = Distance of faster car - Distance of slower car

Let's calculate the distance between the two cars after 7 hours.

Calculation

Given that the speed of one car is 74 km/h, which is 8 km/h more than the speed of the other car, we can set up the following equation:

74 km/h = x km/h + 8 km/h

Solving this equation, we find:

x = 66 km/h

Now we can calculate the distance traveled by each car:

Distance of slower car = 66 km/h × 7 hours = 462 km

Distance of faster car = (66 km/h + 8 km/h) × 7 hours = 518 km

Finally, we can find the distance between the two cars after 7 hours:

Distance between the two cars = 518 km - 462 km = 56 km

Answer

The distance between the two cars after 7 hours will be 56 km.

Source:

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