Question

От автобусной станции отошел автобус со скоростью 40 км/ч. Через час в противоположном направлении вышел другой автобус, скорость которого 60 км/ч. а) через какое время после выхода второго автобуса, расстояние между ними будет равно 140 кмб) через какое время после выхода первого автобуса, расстояние между ними будет равно 240 км

Answer 1

За 1 час автобусы удаляются дру от друга на 100 км (проходят за час), да еще первый успел пройти 40 км до этого.

Составим и решим уравнение

140=40+100*х

х=1 - время которое они ехали вместе. Плюс еще час, который первый автобус ехал один, итого 2 часа

 

240=40+100*х

200=100*х

х=2 - время которое они ехали вместе. Плюс еще час, который первый автобус ехал один, итого 3 часа

Answer 2

Calculation of Time and Distance between Buses

To calculate the time and distance between the two buses, we can use the formula: distance = speed × time.

Let's solve the given problem step by step:

a) To find the time it takes for the distance between the buses to be 140 km, we need to calculate the time it takes for the second bus to cover this distance.

1. The first bus is moving away from the bus station with a speed of 40 km/h. 2. After one hour, the second bus starts moving in the opposite direction with a speed of 60 km/h.

To find the time it takes for the second bus to cover the distance of 140 km, we can use the formula: time = distance / speed.

Using this formula, we can calculate the time it takes for the second bus to cover the distance of 140 km:

time = 140 km / 60 km/h = 2.33 hours.

Therefore, after approximately 2 hours and 20 minutes (or 2.33 hours), the distance between the two buses will be 140 km.

b) To find the time it takes for the distance between the buses to be 240 km, we need to calculate the time it takes for the first bus to cover this distance.

1. The first bus is moving away from the bus station with a speed of 40 km/h. 2. After one hour, the second bus starts moving in the opposite direction with a speed of 60 km/h.

To find the time it takes for the first bus to cover the distance of 240 km, we can use the formula: time = distance / speed.

Using this formula, we can calculate the time it takes for the first bus to cover the distance of 240 km:

time = 240 km / 40 km/h = 6 hours.

Therefore, after approximately 6 hours, the distance between the two buses will be 240 km.

Please note that these calculations assume that the buses maintain a constant speed throughout their journey and that there are no other factors affecting their movement.

I hope this helps! Let me know if you have any further questions.