/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 43 If a car is traveling at \(35 \m... [FREE SOLUTION] | 91Ó°ÊÓ

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If a car is traveling at \(35 \mathrm{km} / \mathrm{h}\), how far does it travel in a. one hour? b. half an hour? c. one minute?

Short Answer

Expert verified
a. 35 km, b. 17.5 km, c. 0.5833 km

Step by step solution

01

Understand the Problem

The car's speed is given as 35 km/h. We need to determine the distance it travels in different time intervals: one hour, half an hour, and one minute.
02

Calculate Distance in One Hour

The speed of the car is 35 km/h, meaning it travels 35 kilometers in one hour. So, the distance traveled in one hour is 35 kilometers.
03

Calculate Distance in Half an Hour

To find the distance traveled in half an hour, divide the speed by 2. Distance = 35 km/h ÷ 2 = 17.5 kilometers.
04

Calculate Distance in One Minute

Since there are 60 minutes in an hour, the speed in km per minute is calculated as 35 km/h ÷ 60. Distance = 35 km/h ÷ 60 = 0.5833 kilometers.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Speed and Distance
Speed and distance are essential concepts in physics and everyday life. Speed represents how fast an object is moving, whereas distance refers to how far it has traveled. These two are related through time: Distance = Speed × Time.

If a car travels at 35 kilometers per hour (km/h), it means that every hour, the car covers 35 kilometers. This is a direct relation where speed helps us calculate distance over time intervals.
Unit Conversion
Understanding unit conversion is crucial for solving speed and distance problems accurately. In our example, we need to convert hours to minutes to find out how far the car travels in one minute. Since there are 60 minutes in one hour, we divide the speed (in km/h) by 60 to get the speed in kilometers per minute (km/min). This makes it easier to calculate distances in various time units.

The conversion formula used is:
- Speed in km/min = Speed in km/h ÷ 60

By mastering unit conversion, you can easily switch between different units and solve problems more flexibly.
Problem-Solving Steps
Breaking down the problem into smaller, manageable steps makes it easier to solve. Let's review the steps applied in our exercise:

1. **Understand the Problem**: Identify what is given (speed of 35 km/h) and what is needed (distance for different time intervals).
2. **Calculate Distance in One Hour**: Using the speed directly since it’s already in km/h.
- Distance = Speed × Time => 35 km/h × 1 hour = 35 kilometers.
3. **Calculate Distance in Half an Hour**: Divide the speed by 2.
- Distance = 35 km/h ÷ 2 = 17.5 kilometers.
4. **Calculate Distance in One Minute**: Convert the speed to km/min by dividing by 60.
- Distance = 35 km/h ÷ 60 ≈ 0.5833 kilometers.

These steps reinforce the importance of breaking down the problem and performing calculations methodically.

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