SOLUTION: Please help me with this problem :)) thanks, a car runs 10 km an hiur faster than a jeepney. Find the rate of each if the car can travel 200 km one hour less than that if the je

Question 626936: Please help me with this problem :)) thanks,
a car runs 10 km an hiur faster than a jeepney. Find the rate of each if the car can travel 200 km one hour less than that if the jeepney.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a car runs 10 km an hour faster than a jeepney. Find the rate of each if the car can travel 200 km one hour less than that of the jeepney.
---------
Car DATA:
rate = x kmh ; distance = 200 km ; time = d/r = 200/x hrs.
------------------
Jeep DATA:
rate = x-10 kmh ; distance = 200 km ; time = d/r = 200/(x-10) hrs
---
Equation:
jeep time - car time = 1 hour
200/(x-10) - 200/x = 1
---
Multiply thru by x(x-10) to get:
200x - 200(x-10) = x(x-10)
2000 = x^2-10x
x^2-10x-2000 = 0
(x-50)(x+40) = 0
x = 50 kmh (rate of the car
x-10 = 40 kmh (rate of the jeep)
==========================
Cheers,
Stan H.
===============

RELATED QUESTIONS
Please help me solve THIS problem. A car travels 840 mi. A second car traveling 2 mph (answered by checkley79)

I am having a hard time with this word problem, can you please help? A car travels 60... (answered by Nate)

Please help me solve this problem. An express train travels 150 km. in the same time... (answered by mananth)

Please help me solve this question: If a car traveled 5kilometer an hour faster it would (answered by ankor@dixie-net.com)

An airplane travels 1260 km in the same time a car travels 420 km. If the rate of the car (answered by TimothyLamb)

To travel a distance of 120 km, a car takes 40 minutes less than a bus. If the car... (answered by richwmiller)

Hi. My name is Allen and I'm having trouble with this word problem from my Calculus... (answered by stanbon)

to travel a distance of 120km, a car takes 40 minutes faster than a bus. if a car travels (answered by richwmiller)

Please help! A car travels 304 mi. A second car, traveling 9 mph faster than the first (answered by ikleyn)