Question

из посёлка в город расстояние до которого равно 144км в 9 часов утра отправился велосипедист со скоростью 16 км/час .два часа спустя навстречу ему из города отправился другой велосипедист со скоростью 12км/час . в котором часу произойдёт встреча велосипедистов?помогите пожалуйста срочно!!!!!!заранее спасибо!......

Answer 1

16*2=32
144-32=112
112:(16+12)=4
9+2+4=15
ответ:в 15часов

Answer 2

Problem Analysis

We are given that a cyclist starts from a village and travels towards a city at a speed of 16 km/h. Two hours later, another cyclist starts from the city and travels towards the village at a speed of 12 km/h. We need to determine at what time the two cyclists will meet.

Solution

Let's assume that the meeting time is t hours after the first cyclist starts from the village. Since the first cyclist travels for 2 hours before the second cyclist starts, the second cyclist will travel for t - 2 hours.

To find the meeting time, we can set up an equation based on the distances traveled by each cyclist. The distance traveled by the first cyclist is given by the equation:

Distance1 = Speed1 * Time1

where Speed1 is the speed of the first cyclist (16 km/h) and Time1 is the time traveled by the first cyclist (t hours).

Similarly, the distance traveled by the second cyclist is given by the equation:

Distance2 = Speed2 * Time2

where Speed2 is the speed of the second cyclist (12 km/h) and Time2 is the time traveled by the second cyclist (t - 2 hours).

Since the total distance traveled by both cyclists is equal to the distance between the village and the city (144 km), we can set up the equation:

Distance1 + Distance2 = 144 km

Substituting the equations for Distance1 and Distance2, we get:

(Speed1 * Time1) + (Speed2 * Time2) = 144 km

Substituting the given values, we have:

(16 km/h * t) + (12 km/h * (t - 2)) = 144 km

Simplifying the equation, we get:

16t + 12(t - 2) = 144

Solving for t:

28t - 24 = 144

28t = 168

t = 6

Therefore, the meeting time is 6 hours after the first cyclist starts from the village.

To determine the actual time of the meeting, we need to add the meeting time to the starting time of the first cyclist. The first cyclist starts at 9:00 AM, so the meeting time will be:

9:00 AM + 6 hours = 3:00 PM

Therefore, the two cyclists will meet at 3:00 PM.

Answer

The two cyclists will meet at 3:00 PM.