Question

 Из города одновременно выехали в противоположных направления два мотоциклиста скорость первого 120 км/ч второй ехал 2 часа со скоростью 90 км/ч следующие 2 часа со скоростью 110 км/ч. Какое расстояние будет между ними?

Answer 1

Ответ:

880

Пошаговое объяснение:

(2+2)·120=4·120=480 км проехал 1-й мотоциклист.

2(90+110)=2·200=400 км проехал 2-й мотоциклист.

480+400=880 км - расстояние будет между ними.

Answer 2

Problem Analysis

Two motorcyclists are traveling in opposite directions. The first motorcyclist is traveling at a speed of 120 km/h, while the second motorcyclist is traveling at 90 km/h for 2 hours and then at 110 km/h for the next 2 hours. We need to find the distance between them.

Solution

To find the distance between the two motorcyclists, we can calculate the total distance traveled by each motorcyclist and then find the difference between their distances.

The distance traveled by the first motorcyclist can be calculated using the formula: \[ \text{Distance} = \text{Speed} \times \text{Time} \]

For the second motorcyclist, we need to calculate the distance traveled at 90 km/h and 110 km/h separately and then add them together.

Calculations

1. Distance traveled by the first motorcyclist: - Speed = 120 km/h - Time = 2 hours - Distance = 120 km/h * 2 h = 240 km

2. Distance traveled by the second motorcyclist: - Speed = 90 km/h - Time = 2 hours - Distance at 90 km/h = 90 km/h * 2 h = 180 km - Speed = 110 km/h - Time = 2 hours - Distance at 110 km/h = 110 km/h * 2 h = 220 km - Total distance = 180 km + 220 km = 400 km

Final Answer

The distance between the two motorcyclists will be the difference between the total distances traveled by each motorcyclist: \[ \text{Distance} = |240 - 400| = 160 \, \text{km} \]

So, the distance between the two motorcyclists is 160 km.