# Race Questions: Simple Time and Distance Diagrams Demystify Head Starts and Dead Heats YouTube Lecture Handouts

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Race Questions: Simple Time and Distance Diagrams Demystify Head Starts and Dead Heats

## Speed as Rate

• Speed = Distance/Time

• Mind the units

• Prerequisites:

• Manipulate speed, distance and time: Watch the class on speed questions.

• Linear equations in 2 variables: Watch the class on linear equations.

## One Slide for All Problems Image of One Slide for All Problems Image of One Slide For All Problems Image of Institutional Racism in Schools for Races Image of Institutional Racism In Schools For Races

## Dead Heat ⇾ Same End Point & Same Time

• In Time ⇾ Distance Same

• In Distance ⇾ Time Same Image of Dead Heat for Same End Point and Same Time Image of Dead Heat For Same End Point And Same Time

Winning By Distance⇾ Time Remains Same (No Head Start)

Finish Data

• Wining In Time ⇾ Distance Same

• Winning by Distance ⇾ Time Same

## Time & Distance Diagrams- Most Important

### 1) in a 2000 M Race between a and B. A Gives B a Start of a Minute but Still Beats Him by 200 M. When He Increases the Head Start to 80 Seconds, the Race Ends in Dead Heat. Find the Speed of A

b = 10 m/s, a = 2000/120 = 16.67

### 2) a and B Run a Race of 2000 M. First, a Gives B a Head Start of 200 M and Beats Him by 30 S. Next, a Gives B a Head Start of 3 Mins and is Beaten by 1000 M. Find the Time in Minutes in Which a and B Can Run the Race Separately?

b = 20/3 and time = 300 sec = 5 min

A = 25/3 and time = 240 sec = 4 min

21 m

a = 1/20

a = 0

a = 0.145

1 m

270 sec

l = 48 m

## Next Circular Tracks

### Suppose a and B Are Running a 3 Km Race in a Circular Track of Length 300m. Speeds of a and B Are in the Ratio 4:3. How Often and Where Would the Winner Pass the Other? Image of Circular Tracks for Races Image of Circular Tracks For Races

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