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

Glide to success with Doorsteptutor material for UGC : Get detailed illustrated notes covering entire syllabus: point-by-point for high retention.

Watch Video Lecture on YouTube: Race Questions: Simple Time and Distance Diagrams Demystify Head Starts and Dead Heats

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.

## Dead Heat ⇾ Same End Point & Same Time

• In Time ⇾ Distance Same

• In Distance ⇾ Time Same

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

Developed by: