SOLUTION: In a race, 1000 meters can be run by one main in 140 seconds and by a second man in 150 seconds. How long will it take the faster man to gain a lead of 20 meters on the other man?

Question 777843: In a race, 1000 meters can be run by one main in 140 seconds and by a second man in 150 seconds. How long will it take the faster man to gain a lead of 20 meters on the other man?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
In a race, 1000 meters can be run by one main in 140 seconds and by a second man in 150 seconds. How long will it take the faster man to gain a lead of 20 meters on the other man?
------------
Find the 2 rates:
d = r*t
r = d/t
-----
Slower man: 1000/150 = 20/3 m/sec
Faster man: 1000/140 = 50/7 m/sec
----
Difference = 50/7 - 20/3 = 10/21 m/sec
-----
d = r*t
t = d/r = 20/(10/21)
t = 42 sec
RELATED QUESTIONS
a runner can run a mile in 6 minutes and 13 seconds. at this pace, how long will it take... (answered by graphmatics)

Tom and Cathy decide to run a race. Tom can run at 10 meters per second and Cathy can run (answered by mananth)

Monica gets a 2 meter head start and travels 3 meters in 4 seconds if the race is 16... (answered by ikleyn)

Two people are in a bicycle race around a circular track. One rider can race completely... (answered by ankor@dixie-net.com)

Sean and Mason run out of gas while fishing in the bay. They set off an emergency flare... (answered by MathLover1,ikleyn)

if a man run 100 meters in 10 seconds how many meters will he run on average in 1/5 of... (answered by ankor@dixie-net.com)

If a person can run a mile in 4.00 minutes and 30 seconds, how long in seconds would it... (answered by Alan3354)

the time T (in seconds) it takes a pendulum to swing away from its starting point and... (answered by mananth)

Jones can run around a 400-meter track in 65 seconds. How long does Smith take to run... (answered by checkley77,ankor@dixie-net.com)