A car can travel 320 km in the same amount of time a bus can travel 280 km. Suppose that the speed of the bus is 23 km per hour slower than the speed of car. Find the that distance = velocity time. Student solution. The distance that the bus has travelled is: while the distance that the car has travelled is: dear If v denotes the velocity of the car, then the velocity of the bus in terms of v is bus= If t denotes the travel time, then in terms of v, the time of travel for the bus: and the time of travel for the car: t%3D Then after we cross-multiply we can write in terms of v: O-0

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A car can travel 320 km in the same amount of time a bus can travel 280 km. Suppose that the speed of the bus is 23 km per hour slower than the speed of car. Find the speed of the bus and the speed of the car. Use the fact
that
distance = velocity time.
Student solution.
The distance that the bus has travelled is:
dus =
while the distance that the car has travelled is:
dear =
If v denotes the velocity of the car, then the velocity of the bus in terms of v is
Ubus=
If t denotes the travel time, then in terms of v, the time of travel for the bus:
t%3D
and the time of travel for the car:
t =
Then after we cross-multiply we can write in terms of v:
From this we solve for v and get (use at least 2 decimal digits):
Lastly, we have that (use at least 2 decimal digits):
Vcar =
and vbus=
Transcribed Image Text:A car can travel 320 km in the same amount of time a bus can travel 280 km. Suppose that the speed of the bus is 23 km per hour slower than the speed of car. Find the speed of the bus and the speed of the car. Use the fact that distance = velocity time. Student solution. The distance that the bus has travelled is: dus = while the distance that the car has travelled is: dear = If v denotes the velocity of the car, then the velocity of the bus in terms of v is Ubus= If t denotes the travel time, then in terms of v, the time of travel for the bus: t%3D and the time of travel for the car: t = Then after we cross-multiply we can write in terms of v: From this we solve for v and get (use at least 2 decimal digits): Lastly, we have that (use at least 2 decimal digits): Vcar = and vbus=
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