SOLUTION: Albert and Bob ran a race of 440 yards. In the first trial albert gave bob a start of 65 yards and won by 20 seconds. In the second trial albert gave bob a start 34 seconds and bo

Question 976188: Albert and Bob ran a race of 440 yards. In the first trial albert gave bob a start of 65 yards and won by 20 seconds. In the second trial albert gave bob a start 34 seconds and bob won by 8 yards. Find the speeds of albert and bob in yards per second
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Albert and Bob ran a race of 440 yards.
In the first trial Albert gave bob a start of 65 yards and won by 20 seconds.
In the second trial Albert gave bob a start 34 seconds and bob won by 8 yards.
Find the speeds of Albert and bob in yards per second
:
let a = Al's running speed (yds/sec)
let b = Bob's speed
:
Write a time equation for each scenario; time = dist/speed
:
A runs 440 yds while b runs 440 - 65 = 375 yds, beats him by 20 sec
b's time - a's time = 20 sec
- = 20
:
b's travels 440 - 8 = 432 yds, while a travels 440 yds in 34 sec less time
- = 34
subtract the 1st equation from the 2nd equation
- = 34
- = 20
--------------------------------subtraction eliminates a, find b
= 14
b =
b = 4.07 yds/sec is Bob's speed
:
Find a using the 1st equation
- = 20
92.1376 - = 20
- = 20 - 92.1376
- = -72.1376
= 72.1376
a =
a = 6.1 yds/sec is Al's speed
:
:
Check this in the 2nd equation
- = 34
106.14 - 72.13 = 34.0 sec

RELATED QUESTIONS
Albert and Bob ran a race of 440 yards. In the first trial, Albert gave Bob a headstart... (answered by ankor@dixie-net.com)

Albert and Bob jog around a circular track with length 400 meters. They start at the same (answered by ikleyn)

Last season two running backs (Bob and Albert) on the Elm Grove Eagles football team... (answered by ikleyn,josgarithmetic)

Alex is a faster runner than Bob. Alex runs 3 yards every second. Bob runs 2.5 yards... (answered by ankor@dixie-net.com)

When Albert starts walking Kimberly is 60 yards him. They are moving on the same in the... (answered by josmiceli)

A runner can run 100 yards in 9.8 seconds and 440 yards in 49 seconds. What is the ratio (answered by venugopalramana)

Hi Joe and Bob took part in a race. When Bob had completed the race in 30min, Joe ran... (answered by 1931,MathTherapy)

Yolanda and Yoko ran in a 100-yd dash. When Yolanda crossed the finish line, Yoko was 10 (answered by Theo)

Albert and Bob start at the same point to run clockwise around a circular track with 600... (answered by ikleyn)