SOLUTION: A car travelled the first 240km at a certain speed and then the next 192km 8kph faster than its initial speed. What is its initial speed if the entire trip took 10 hours?
Algebra.Com
Question 1045491: A car travelled the first 240km at a certain speed and then the next 192km 8kph faster than its initial speed. What is its initial speed if the entire trip took 10 hours?
Answer by jorel555(1290) (Show Source): You can put this solution on YOUR website!
Let n be the initial speed. Then:
240/n+192/(n+8)=10
240(n+8)+192n=10(nē+8n)
432n+1920=10nē+80n
10nē-352n-1920=0
5nē-176n-960=0
(5n+24)(n-40)=0
n=40,-24/5
Throwing out the negative result, we get 40 kph as the original speed. ☺☺☺☺
RELATED QUESTIONS
Over a distance of 240km, the average speed of a train is 20km/h faster than that of a... (answered by mananth)
A boat travelled at a certain speed to a jetty 30 km away, then reduced speed by 4km/hr... (answered by jorel555)
A truck travels 240km. If it had travelled an average 10km/h faster the trip would have... (answered by Alan3354)
Fred originally ran a 42km marathon in 3 hours. Fred wants to improve his net time by six (answered by ankor@dixie-net.com)
Felice drove her car 300km at a certain average speed. Had she travelled 10kph faster,... (answered by ikleyn)
a train travel first 50km at speed of 75 km/hr next 90km at speed of 80km/hr and other... (answered by lwsshak3)
a car travelled 25km at speed of xkm\h.if its speed was increased by 5km\h it covers the... (answered by josgarithmetic)
a car travelled 25km at an average speed of xkm\h.if its speed was increased by 5km\h it (answered by m_obaid6@live.com,MathTherapy)
A train travelled a total distance of 600 miles in 8 hours it travelled, first travelled... (answered by ikleyn)