SOLUTION: a trucker traveling along a highway encounters road construction so that traffic is down to single lane. After driving 30 minutes, the road construction ends and the trucker is abl

Question 717545: a trucker traveling along a highway encounters road construction so that traffic is down to single lane. After driving 30 minutes, the road construction ends and the trucker is able to increase his speed by 64 mph for 4.5 hours. if his entire trip is 303 miles, what was his speed in the road construction?
Answer by jndarrell(58) (Show Source): You can put this solution on YOUR website!
Create a D=RT box chart and fill in from below:
Instead of your typical car vs plane scenario, you are using "w/ traffic and w/o traffic"
With:
Rate = x mph
Time = 0.5hr
W/O:
Rate = 64mph
Time = 4.5hrs
In your scenario you are provided with a total distance. Whenever this is given, you will take the sum of each's R*T and set them equal to the total distance...
0.5x + 64(4.5) = 303
0.5x + 288 = 303
Subtract 288 from each side in the first step to get x alone
0.5x = 15
Divide each side by 0.5 to get x alone
x=30
Two common oops at the end
1. Remember to always report your units (30mph)
2. Double check what they are asking you to find.
Check your work by taking the found value of x and plug it into the d=RT equation we set:
0.5(30)+64(4.5)=303
Work it through!
:)
RELATED QUESTIONS
Construction workers resurface parts of the N1 Highway. They complete 2km per day. a.... (answered by josmiceli)

Judy is driving along a highway that is climbing a steady 9-degree slope. After driving... (answered by vleith,Nate)

ben is driving his own car down the road. he is 5 miles away from home. he keeps driving... (answered by richwmiller)

Is C correct? I'm checking my answers. On a residential single lane road there was a... (answered by Theo,ikleyn)

on a recent trip, a trucker traveled 330 mi at a constant rate. because of road... (answered by mananth)

The distance between Morehead and Lexington is approximately 60 miles. In your travel... (answered by josmiceli)

I'm having trouble setting the equation up correctly. It reads - on a recent trip, a... (answered by stanbon)

On a residential single lane road there was a wreck that backed up traffic for 5 miles.... (answered by ikleyn)

Pierre drove from Ottawa to London, a distance of 575 km in 8 h. Part of the trip was... (answered by Boreal)