Question

Мотоциклист проехал расстояние от одного города до другого за 4 ч, двигаясь со скоростью 72 км/ч. Сколько времени потребуется мотоциклисту на обратный путь, но уже по другой дороге, если она длиннее на 22 км, а его скорость будет меньше прежней на 10 км/ч.

Answer 1

Расстояние между городами 72*4= 288км
обратный путь 288+22=310км
скорость при возвращении 72-10=62км/ч
время на обратную дорогу 310/62=5 часов

Answer 2

1) 72*4=288 (км)-расстояние от одного города до другого
2)288+22=310 (км)-расстояни от одного города до другого по второму пути
3)72-10=62 (км/ч)-его скорость на обратном пути
4)310:62=5 (ч)- потребуется мотоциклисту на обратный путь

Answer 3

Problem Analysis

A motorcyclist travels from one city to another at a speed of 72 km/h and completes the journey in 4 hours. The return route is longer by 22 km, and the speed of the motorcyclist is 10 km/h slower. We need to calculate the time it will take for the motorcyclist to return on the longer route.

Solution

To find the time it will take for the motorcyclist to return on the longer route, we can use the formula:

Time = Distance / Speed

Let's break down the problem step by step:

1. Calculate the distance of the initial journey using the formula: Distance = Speed × Time. The speed is given as 72 km/h, and the time is given as 4 hours. 2. Calculate the distance of the longer route by adding 22 km to the initial distance. 3. Calculate the speed of the motorcyclist on the return journey by subtracting 10 km/h from the initial speed. 4. Calculate the time it will take for the motorcyclist to return on the longer route using the formula: Time = Distance / Speed.

Let's calculate the values step by step:

1. Calculate the distance of the initial journey: - Speed = 72 km/h - Time = 4 hours - Distance = Speed × Time = 72 km/h × 4 hours = 288 km.

2. Calculate the distance of the longer route: - Initial distance = 288 km - Additional distance = 22 km - Longer distance = Initial distance + Additional distance = 288 km + 22 km = 310 km.

3. Calculate the speed of the motorcyclist on the return journey: - Initial speed = 72 km/h - Speed reduction = 10 km/h - Return speed = Initial speed - Speed reduction = 72 km/h - 10 km/h = 62 km/h.

4. Calculate the time it will take for the motorcyclist to return on the longer route: - Distance = 310 km - Speed = 62 km/h - Time = Distance / Speed = 310 km / 62 km/h = 5 hours.

Therefore, it will take the motorcyclist 5 hours to return on the longer route.

Answer

The motorcyclist will require 5 hours to return on the longer route, with a speed of 62 km/h