Question

Три мальчика при помощи двухместного мотоцикла хотят преодолеть расстояние 60 км за 3 часа. Максимальная скорость мотоцикла 50 км/ч, а скорость пешехода 5 км/ч. Удастся ли мальчикам осуществить задуманное?

Answer 1

Конечно-же, да!

Двое из них едут 50 км.

Третий идет пешком.

Через 50 км первый слезает с мотоцикла и идет дальше пешком.

Второй возвращается за третьим и с ним едет в конечный пункт.

За это время первый тоже туда придет.

Answer 2

Problem Analysis

Three boys want to cover a distance of 60 km in 3 hours using a two-seater motorcycle. The maximum speed of the motorcycle is 50 km/h, and the walking speed of a pedestrian is 5 km/h. The question is whether the boys will be able to achieve their goal.

Solution

To determine if the boys will be able to cover the distance in the given time, we need to compare the total distance covered by the motorcycle with the total distance covered by the pedestrian.

Let's calculate the time it would take for the motorcycle to cover the entire distance at its maximum speed of 50 km/h:

Time taken by the motorcycle = Distance / Speed = 60 km / 50 km/h = 1.2 hours

Since the motorcycle can cover the distance in 1.2 hours, which is less than the given time of 3 hours, we can conclude that the motorcycle alone can cover the entire distance within the given time.

Now, let's calculate the time it would take for the pedestrian to cover the entire distance at their walking speed of 5 km/h:

Time taken by the pedestrian = Distance / Speed = 60 km / 5 km/h = 12 hours

Since the pedestrian would take 12 hours to cover the distance, which is more than the given time of 3 hours, we can conclude that the pedestrian alone cannot cover the entire distance within the given time.

Therefore, the boys will not be able to achieve their goal of covering the distance in 3 hours using the two-seater motorcycle and the pedestrian's walking speed.

Conclusion

The boys will not be able to cover the distance of 60 km in 3 hours using a two-seater motorcycle and a pedestrian's walking speed of 5 km/h. The motorcycle alone can cover the distance within the given time, but the pedestrian would take much longer.