SOLUTION: One morning, John drove 5 hours before stopping to eat. After lunch he increased his speed by 10 mph. If he completed a 430 mile trip in 8 hrs of driving time, how fast did he driv

Question 97911: One morning, John drove 5 hours before stopping to eat. After lunch he increased his speed by 10 mph. If he completed a 430 mile trip in 8 hrs of driving time, how fast did he drive in the morning?
Answer by rajagopalan(174) (Show Source): You can put this solution on YOUR website!
Let the morning speed =x
Driving time 5 hrs
Distance covered = speedxtime =5x........D1
Post lunch travel time =8-5=3
Post lunch speed=x+10
Post Lunch Distance covered = speedxtime =3(x+10)=3x+30......D2
Total distance covered=D1+D2=5x+3x+30
But 5x+3x+30 = 430
8x+30=430
8x=430-30
8x=400
x=400/8=50
The speed in the morning = 50 mph

RELATED QUESTIONS
One morning, John drove 5 hours before stoping to eat. After lunch, he increased his... (answered by ankor@dixie-net.com)

One morning, John drove 5 hours before stopping to eat. After lunch, he increased his... (answered by josmiceli)

One morning, John drove 11 hours before stopping to eat. After lunch, he increased his... (answered by Nihal@SriLanka)

one morning john drove 5 hours before stopping to eat. after lunch, he increased his... (answered by ewatrrr)

One morning, Justin drove 5 hours before stopping to eat lunch at Chick-fil-A. After... (answered by ikleyn)

One morning, Justin drove 5 hours before stopping for lunch at a pizza place. After... (answered by Boreal)

One morning, Justin drove 2 hours before stopping to eat lunch at Chick-fil-A. After... (answered by ikleyn)

One morning, Justin drove 3 hours before stopping to eat lunch at Chick-fil-A. After... (answered by Boreal)

One morning, Justin drove 3 hours before stopping to eat lunch at Chick-fil-A. After... (answered by ikleyn,ewatrrr,MathTherapy)