Question

Из поселка и города навстречу выехали велосипедист и мотоциклист, велосипедист со скоростью 16 км/ч , мотоциклист 54 км/ч. Велосипедист проехал до встречи 48 км. Какое расстояние до встречи проехал мотоциклист?

Answer 1

48:16=3(ч) время в пути
54*3=162(км) проехал мотоциклист

Answer 2

Problem Analysis

We are given the information that a cyclist and a motorcyclist are traveling towards each other. The cyclist is traveling at a speed of 16 km/h, and the motorcyclist is traveling at a speed of 54 km/h. The cyclist has traveled 48 km. We need to determine the distance traveled by the motorcyclist.

Solution

To solve this problem, we can use the formula:

Distance = Speed × Time

Let's calculate the time taken by the cyclist to travel 48 km:

Time taken by cyclist = Distance / Speed = 48 km / 16 km/h = 3 hours

Since the cyclist and the motorcyclist are traveling towards each other, their combined speed is the sum of their individual speeds:

Combined speed = Cyclist's speed + Motorcyclist's speed = 16 km/h + 54 km/h = 70 km/h

Now, we can calculate the distance traveled by the motorcyclist using the formula:

Distance = Speed × Time = 70 km/h × Time

Since the time taken by the cyclist is 3 hours, the distance traveled by the motorcyclist is:

Distance = 70 km/h × 3 hours = 210 km

Therefore, the motorcyclist has traveled a distance of 210 km.

Answer

The motorcyclist has traveled a distance of 210 km.