SOLUTION: a car leaves town at 30 mph, tow hours later another car leaves same place, going the same direction at a speed of 42 mph. How many hours will the second car be driven before it ca
Algebra.Com
Question 676175: a car leaves town at 30 mph, tow hours later another car leaves same place, going the same direction at a speed of 42 mph. How many hours will the second car be driven before it catches up?
Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
After two hours, the first car will have travelled 60 miles (2h times 30 mph). The second car is going 12 mph faster. How long does it take to go 60 miles at 12 mph?
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
How much of a head start does the 1st car get?
mi
Now start a stop watch when the 2nd car leaves
Let = time on stopwatch when 2nd car catches first car
Let = distance 2nd car travels until it catches 1st car
= distance 1st car travels
-------------------
Equation for 1st car:
(1)
Equation for 2nd car:
(2)
--------------
Substitute (2) into (1)
(1)
(1)
(1)
The 2nd car catches the 1st car in 5 hrs
check:
(2)
(2)
(2)
and
(1)
(1)
(1)
(1)
OK
RELATED QUESTIONS
A car leaves a place going at 55 mph.
A second car leaves the same place 2 hours later... (answered by Fombitz)
A car leaves town traveling west at 45km/h. Three hours later another car leaves the same (answered by richwmiller)
A bicycle leaves town at 10 mph at 8 am. A car leaves town going the same direction at... (answered by checkley77)
if a car leaves at a speed of 25 mph and travels ten minutes then another car leaves from (answered by kevwill)
A cyclist leaves Las Vegas riding at the rate of 18 mph. One hour later, a car leaves Las (answered by ankor@dixie-net.com)
If a car leaves a city and drives 50 mph and two hours later a truck leaves the same city (answered by TimothyLamb)
Car A leaves the cafe traveling at 40 mph. Car B leaves the cafe 4 hours later, and... (answered by mananth)
I need help with this word problem.
Two cars are in the same parking lot. The first car... (answered by ankor@dixie-net.com)
A car leaves town at noon traveling 40 mph. Two hours later, a second car leaves the same (answered by scott8148,Alan3354)
