Question

из поселка в город расстояние между которыми равно 120 километров одновременно выехали Турист на спортивном велосипеде и мотоциклист известно что скорость мотоциклиста на 20 километров час больше скорости велосипедиста Вычислите на сколько часов больше затратил на дорогу до города велосипедист если мотоциклист был в пути два часа?

Answer 1

120:2=60км/час скорость мотоциклиста
60-20=40км/час скорость велосипедиста
120:40=3 часа ехал велосипедист
3-2=1 час  на 1 час ехал дольше велосипедист

Answer 2

120:2=60км/ч 60-20=40км/ч 120:40=3ч 3ч-2ч=1ч

Answer 3

Problem Analysis

We are given that the distance between a village and a city is 120 kilometers. A tourist on a sports bicycle and a motorcyclist simultaneously started their journey from the village to the city. It is known that the motorcyclist's speed is 20 kilometers per hour faster than the speed of the cyclist. We need to calculate how many hours longer the cyclist spent on the road to the city if the motorcyclist was on the road for two hours.

Solution

Let's assume the speed of the cyclist is x kilometers per hour. Since the motorcyclist's speed is 20 kilometers per hour faster, the speed of the motorcyclist is x + 20 kilometers per hour.

We can use the formula distance = speed × time to calculate the time taken by each traveler.

For the cyclist, the time taken is given by time_cyclist = distance / speed_cyclist.

For the motorcyclist, the time taken is given by time_motorcyclist = distance / speed_motorcyclist.

We know that the distance is 120 kilometers and the motorcyclist was on the road for two hours. We can substitute these values into the equation for the motorcyclist's time to solve for the speed of the motorcyclist.

Let's calculate the speed of the motorcyclist:

time_motorcyclist = distance / speed_motorcyclist

2 = 120 / speed_motorcyclist

speed_motorcyclist = 120 / 2

speed_motorcyclist = 60 kilometers per hour

Now that we know the speed of the motorcyclist, we can calculate the speed of the cyclist:

speed_cyclist = speed_motorcyclist - 20

speed_cyclist = 60 - 20

speed_cyclist = 40 kilometers per hour

Now we can calculate the time taken by the cyclist:

time_cyclist = distance / speed_cyclist

time_cyclist = 120 / 40

time_cyclist = 3 hours

Therefore, the cyclist spent 3 hours on the road to the city, which is 1 hour longer than the motorcyclist.

Answer

The cyclist spent 3 hours on the road to the city, which is 1 hour longer than the motorcyclist.