Question

дальнобойщик погрузив груз в фуру отправился в путь со скоростью 60км/ч.Через 1ч он сделал остановку на 30 мин.,а потом продолжил путь с первоначальной скоростью.Через 1 час после отправки фуры диспечер склада выехал вдогонку на мотоцикле со скоростью 100км/ч.Какое расстояние в км проедит мотоциклист до места встречи?

Answer 1

диспетчер ехал до встречи х часов и преодолел расстояние х*100 км.

дальнобойщик ехал на 1 час больше, но 30 мин он стоял (т.е. фактически, он был в пути лишь на 1/2 часа больше, т.к. эти 30 мин диспетчер продолжал двигаться) значит, он ехал х+1/2 часа и проехал 60(х+1/2) км. получаем

100х=60(х+1/2)

100х=60х+30

40х=30

х=0,75

до встречи с дальнобойщиком  диспетчер проехал 0,75*100=75 км.

Answer 2

Calculation of the Distance Traveled by the Motorcyclist

To calculate the distance traveled by the motorcyclist before meeting the truck driver, we need to consider the time and speed of both the truck and the motorcyclist.

Given information: - The truck driver loaded the cargo into the truck and started the journey at a speed of 60 km/h. - After 1 hour of driving, the truck driver made a 30-minute stop and then continued the journey at the same initial speed. - 1 hour after the truck's departure, the dispatcher of the warehouse set off on a motorcycle with a speed of 100 km/h to catch up with the truck.

To find the distance traveled by the motorcyclist before meeting the truck driver, we can break down the time and distance traveled by both the truck and the motorcyclist.

1. Time and distance traveled by the truck: - The truck driver traveled for 1 hour at a speed of 60 km/h, covering a distance of 60 km. - After the 30-minute stop, the truck driver continued the journey for another 1 hour at the same speed of 60 km/h, covering an additional distance of 60 km. - Therefore, the total distance traveled by the truck driver is 60 km + 60 km = 120 km.

2. Time and distance traveled by the motorcyclist: - The motorcyclist started 1 hour after the truck's departure. - The motorcyclist traveled at a speed of 100 km/h. - To find the distance traveled by the motorcyclist, we need to calculate the time it takes for the motorcyclist to catch up with the truck. - Since the truck driver traveled for 2 hours (1 hour before the motorcyclist started and 1 hour after), the motorcyclist needs to cover the same distance in 1 hour to catch up with the truck. - Therefore, the distance traveled by the motorcyclist before meeting the truck driver is 100 km/h * 1 hour = 100 km.

So, the motorcyclist will travel a distance of 100 km before meeting the truck driver.