Question

Задача Велосипедист по шоссе ехал со скоростью 14 км/ч,а по грунтовой-со скоростью 8 км/ч. Всего он проехал 11,6 км. Сколько времени он ехал по шоссе и по грунтовой дороге,если по грунтовой дороге он ехал на 0,2 ч меньше,чем по шоссе?

Answer 1

14*х - расстояние по шоссе
8*(х+0,2) - расстояние по грунтовой дороге
составим уравнение
14*х+8*(х+0,2)=11,6
14х+8х+1,6=11,6
22х=10
х=2,2 ч

Answer 2

Problem Analysis

The problem states that a cyclist traveled a total distance of 11.6 km, with a speed of 14 km/h on the highway and 8 km/h on the dirt road. The cyclist spent 0.2 hours less time on the dirt road than on the highway. We need to calculate the time the cyclist spent on each road.

Solution

Let's assume the time spent on the highway is x hours. Since the cyclist spent 0.2 hours less on the dirt road, the time spent on the dirt road can be expressed as x - 0.2 hours.

To calculate the time spent on each road, we can use the formula:

Time = Distance / Speed

For the highway, the time spent can be calculated as:

Time on highway = Distance on highway / Speed on highway

Similarly, for the dirt road, the time spent can be calculated as:

Time on dirt road = Distance on dirt road / Speed on dirt road

Substituting the given values, we have:

Time on highway = 11.6 km / 14 km/h

Time on dirt road = 11.6 km / 8 km/h

Now, let's calculate the time spent on each road.

Calculation

Time on highway = 11.6 km / 14 km/h = 0.8286 hours

Time on dirt road = 11.6 km / 8 km/h = 1.45 hours

Therefore, the cyclist spent approximately 0.8286 hours (or about 49.7 minutes) on the highway and 1.45 hours (or about 87 minutes) on the dirt road.

Answer

The cyclist spent approximately 0.8286 hours (or about 49.7 minutes) on the highway and 1.45 hours (or about 87 minutes) on the dirt road.