SOLUTION: Two straight roads intersect at right angles. At 10:00 a.m. a car passes through the
intersection headed due east at 30 miles per hour. At 11:00 a.m. a truck heading due
north at
Algebra.Com
Question 315464: Two straight roads intersect at right angles. At 10:00 a.m. a car passes through the
intersection headed due east at 30 miles per hour. At 11:00 a.m. a truck heading due
north at 40 miles per hour passes through the intersection. Assume that the two vehicles
maintain the given speeds and directions. At what rate are they separating at 1:00 p.m.?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two straight roads intersect at right angles.
At 10:00 a.m. a car passes through the intersection headed due east at 30 miles per hour.
At 11:00 a.m. a truck heading due north at 40 miles per hour passes through the intersection.
Assume that the two vehicles maintain the given speeds and directions.
At what rate are they separating at 1:00 p.m.?
:
From the given information:
At 1 pm:
truck travel time = 2 hrs
Car travel time = 3 hrs
:
Find the dist between the vehicles using pythag: c^2 = a^2 + b^2
Distance at 2 PM
a = 4(30) = 120 mi
b = 3(40) = 120 mi
c =
c = 169.7 mi apart at 2 PM
:
Find the distance at 12 noon
a = 2(30) = 60 mi
b = 1(40) = 40 mi
c =
c = 72.1 mi apart at 12 noon
:
12 noon to 2 pm separation distance: 169.7 - 72.1 = 97.6 mi
Average rate of separation 97.6/2 = 48.8 mph separation rate at 1 pm
RELATED QUESTIONS
Two straight roads diverge at an angle of 75°. Two cars leave the intersection at 2:00... (answered by Cromlix)
Hi. I continually have difficulty solving distance problems involving multiple variables. (answered by stanbon)
Two cars left the same intersection at the same time, one heading due east and the other... (answered by richwmiller)
Two cars left an intersection at the same time,one heading due north and the other due... (answered by solver91311)
A hot-air balloon, headed due east at an average speed of 15 miles per hour and at a... (answered by stanbon)
A hot-air balloon, headed due east at an average speed of 25 miles per hour and at a... (answered by ikleyn)
A hot-air balloon, headed due east at an average speed of 15 miles per hour and at a... (answered by MathLover1,ikleyn,Alan3354)
Two cars leace an intersection at right angles at the same time. Car A is going 30 mph... (answered by mananth)
The highway roads intersect at right angle. A car is 12 kilometers from the intersection... (answered by Alan3354)