Question

Из одного города одновременно в противоположных направлениях выехали автобус и грузовик .Через 4 ч после начала движения растояние между ними составляло 528 км. скорость движения автобуса 58 км/ ч.С какой скоростью двигался грузовик.

Answer 1

528:4=132км/час суммарная скорость удаления
132-58=74км/час

Answer 2

Problem Analysis

We are given that a bus and a truck started moving simultaneously in opposite directions from the same city. After 4 hours of travel, the distance between them was 528 km. We are also given that the speed of the bus is 58 km/h. We need to determine the speed of the truck.

Solution

Let's assume the speed of the truck is x km/h.

We can use the formula: distance = speed × time.

After 4 hours of travel, the distance covered by the bus can be calculated as 58 km/h × 4 hours = 232 km.

Since the bus and the truck are moving in opposite directions, the total distance covered by both vehicles is equal to the sum of their individual distances.

So, the distance covered by the truck after 4 hours is 528 km - 232 km = 296 km.

Using the formula distance = speed × time, we can set up the equation:

296 km = x km/h × 4 hours.

To find the speed of the truck, we can solve this equation for x.

Calculation

Let's solve the equation to find the speed of the truck:

296 km = x km/h × 4 hours.

Dividing both sides of the equation by 4 hours, we get:

296 km / 4 hours = x km/h.

Simplifying the equation, we find:

74 km/h = x km/h.

Therefore, the speed of the truck is 74 km/h.

Answer

The truck was moving at a speed of 74 km/h.

Verification

Let's verify the answer using the given information.

After 4 hours, the bus has covered a distance of 58 km/h × 4 hours = 232 km.

The truck has covered a distance of 74 km/h × 4 hours = 296 km.

The total distance covered by both vehicles is 232 km + 296 km = 528 km, which matches the given information.

Therefore, the answer is verified.

Conclusion

The truck was moving at a speed of 74 km/h.