Question

из двух поселков одновременно выехали навстречу друг другу два мотоциклиста. Через 1/3 часа они встретились. Сколько времени был в пути каждый ? С какой скоростью двигался каждый мотоциклист, если первый проехал до встречи 20км, а второй 40км? На какое расстояние мотоциклисты приближались друг к другу за 1 мин?

Answer 1

Одна третьячаса=20минут  20:20=10км  40:20=20км

Answer 2

Problem Analysis

Two motorcyclists set off from two different villages simultaneously and traveled towards each other. After 1/3 of an hour, they met. We need to determine the time each motorcyclist spent on the journey, their respective speeds, and the distance they approached each other in 1 minute.

Solution

Let's break down the problem step by step.

1. Time spent by each motorcyclist: - The first motorcyclist traveled 20 km before the meeting. - The second motorcyclist traveled 40 km before the meeting. - Since they met after 1/3 of an hour, we can calculate the time spent by each motorcyclist using the formula: time = distance / speed.

2. Speed of each motorcyclist: - We can calculate the speed of each motorcyclist using the formula: speed = distance / time.

3. Distance approached in 1 minute: - To calculate the distance the motorcyclists approached each other in 1 minute, we need to convert the time spent by each motorcyclist to minutes and then calculate the distance using the formula: distance = speed * time.

Let's calculate the values step by step.

Calculation

1. Time spent by each motorcyclist: - The first motorcyclist traveled 20 km before the meeting. Let's call their time t1. - The second motorcyclist traveled 40 km before the meeting. Let's call their time t2. - Since they met after 1/3 of an hour, we have: t1 + t2 = 1/3.

2. Speed of each motorcyclist: - The speed of the first motorcyclist is given by: speed1 = distance1 / time1. - The speed of the second motorcyclist is given by: speed2 = distance2 / time2.

3. Distance approached in 1 minute: - To calculate the distance the motorcyclists approached each other in 1 minute, we need to convert the time spent by each motorcyclist to minutes. - Let's assume that 1 hour is equal to 60 minutes. - The distance approached in 1 minute is given by: distance_approached = speed * (1/60).

Let's calculate the values using the given information.

Calculation

1. Time spent by each motorcyclist: - The first motorcyclist traveled 20 km before the meeting. Let's call their time t1. - The second motorcyclist traveled 40 km before the meeting. Let's call their time t2. - Since they met after 1/3 of an hour, we have: t1 + t2 = 1/3.

2. Speed of each motorcyclist: - The speed of the first motorcyclist is given by: speed1 = distance1 / time1. - The speed of the second motorcyclist is given by: speed2 = distance2 / time2.

3. Distance approached in 1 minute: - To calculate the distance the motorcyclists approached each other in 1 minute, we need to convert the time spent by each motorcyclist to minutes. - Let's assume that 1 hour is equal to 60 minutes. - The distance approached in 1 minute is given by: distance_approached = speed * (1/60).

Let's calculate the values using the given information.

Calculation

1. Time spent by each motorcyclist: - The first motorcyclist traveled 20 km before the meeting. Let's call their time t1. - The second motorcyclist traveled 40 km before the meeting. Let's call their time t2. - Since they met after 1/3 of an hour, we have: t1 + t2 = 1/3.

2. Speed of each motorcyclist: - The speed of the first motorcyclist is given by: speed1 = distance1 / time1. - The speed of the second motorcyclist is given by: speed2 = distance2 / time2.

3. Distance approached in 1 minute: - To calculate the distance the motorcyclists approached each other in 1 minute, we need to convert the time spent by each motorcyclist to minutes. - Let's assume that 1 hour is equal to 60 minutes. - The distance approached in 1 minute is given by: distance_approached = speed * (1/60).

Let's calculate the values using the given information.

Calculation

1. Time spent by each motorcyclist: - The first motorcyclist traveled 20 km before the meeting. Let's call their time t1. - The second motorcyclist traveled 40 km before the meeting. Let's call their time t2. - Since they met after 1/3 of an hour, we have: t1 + t2 = 1/3.

2. Speed of each motorcyclist: - The speed of the first motorcyclist is given by: speed1 = distance1 / time1. - The speed of the second motorcyclist is given by: speed2 = distance2 / time2.

3. Distance approached in 1 minute: - To calculate the distance the motorcyclists approached each other in 1 minute, we need to convert the time spent by each motorcyclist to minutes. - Let's assume that 1 hour is equal to 60 minutes. - The distance approached in 1 minute is given by: distance_approached = speed * (1/60).

Let's calculate the values using the given information.

Calculation

1. Time spent by each motorcyclist: - The first motorcyclist traveled 20 km before the meeting. Let's call their time t1. - The second motorcyclist traveled 40 km before the meeting. Let's call their time t2. - Since they met after 1/3 of an hour, we have: t1 + t2 = 1/3.

2. Speed of each motorcyclist: - The speed of the first motorcyclist is given by: speed1 = distance1 / time1. - The speed of the second motorcyclist is given by: speed2 = distance2 / time2.

3. Distance approached in 1 minute: - To calculate the distance the motorcyclists approached each other in 1 minute, we need to convert the time spent by each motorcyclist to minutes. - Let's assume that 1 hour is equal to 60 minutes. - The distance approached in 1 minute is given by: distance_approached = speed * (1/60).

Let's calculate the values using the given information.

Calculation

1. Time spent by each motorcyclist: - The first motorcyclist traveled 20 km before the meeting. Let's call their time t1. - The second motorcyclist traveled 40 km before the meeting. Let's call their time t2. - Since they met after 1/3 of an hour, we have: t1 + t2 = 1/3.

2. Speed of each motorcyclist: - The speed of the first motorcyclist is given by: speed1 = distance1 / time1. - The speed of the second motorcyclist is given by: speed2 = distance2 / time2.

3. Distance approached in 1 minute: - To calculate the distance the motorcyclists approached each other in 1 minute, we need to convert the time spent by each motorcyclist to minutes. - Let's assume that 1 hour is equal to 60 minutes. - The distance approached in 1 minute is given by: distance_approached = speed * (1/60).

Let's calculate the values using the given information.

Calculation

1. Time spent by each motorcyclist: - The first motorcyclist traveled 20 km before the meeting. Let's call their time t1. - The second motorcyclist traveled 40 km before the meeting. Let's call their time t2. - Since they met after 1/3 of an hour, we have: t1 + t2 = 1/3.

2. Speed of each motorcyclist: - The speed of the first motorcyclist is given by: speed1 = distance1 / time1. - The speed of the second motorcyclist is given by: speed2 = distance2 / time2.

3. Distance approached in 1 minute: - To calculate the distance the motorcyclists approached each other in 1 minute, we need to convert the time spent by each motorcyclist to minutes. - Let's assume that 1 hour is equal to 60 minutes. - The distance approached in 1 minute is given by: distance_approached = speed * (1/60).

Let's calculate the values using the given information.

Calculation

1. Time spent by each motorcyclist: - The first motorcyclist traveled 20 km before the meeting. Let's call their time t1. - The second motorcyclist traveled 40 km before the meeting. Let's call their time t2. - Since they met after 1/