Question

из пункта а вышла грузовая машина со скоростью 56 км/ч,а через 1.5 часа вслед за ней выехала легковая машина со скоростью 77 км/ч. На каком расстоянии автомобили будут от пункта А в тот момент,когда легковая машина догонит грузовую? Помогите решить.

Answer 1

на 308 километре автомобили будут от пункта А в тот момент, когда легковая машина догонит грузовую............ 

Answer 2

90t=60(2+t), где t - время, за которое легковая машина догонит грузовую.
90t-60t=120, 30t=120, t=120/30=4 (ч). 90*4=360 (км).
Ответ: на расстоянии 360 км от пункта А легковая машина догонит грузовую.

Answer 3

Problem Analysis

We are given that a truck leaves point A with a speed of 56 km/h, and after 1.5 hours, a car leaves point A with a speed of 77 km/h. We need to determine the distance between the vehicles when the car catches up to the truck.

Solution

To solve this problem, we can use the formula: distance = speed × time.

Let's calculate the distance traveled by the truck after 1.5 hours: distance_truck = speed_truck × time = 56 km/h × 1.5 h.

Next, let's calculate the distance traveled by the car after 1.5 hours: distance_car = speed_car × time = 77 km/h × 1.5 h.

Finally, we can calculate the distance between the vehicles when the car catches up to the truck: distance_between_vehicles = distance_car - distance_truck.

Let's calculate the distances:

Calculation

- Distance traveled by the truck: distance_truck = 56 km/h × 1.5 h = 84 km. - Distance traveled by the car: distance_car = 77 km/h × 1.5 h = 115.5 km. - Distance between the vehicles when the car catches up to the truck: distance_between_vehicles = 115.5 km - 84 km = 31.5 km.

Therefore, the distance between the vehicles when the car catches up to the truck is 31.5 km.

Answer

The distance between the vehicles when the car catches up to the truck is 31.5 km.