00 Verizon 12:29 AM xyztextbooks.com III CONTENTS G S Speeds of a If the train c
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00 Verizon 12:29 AM xyztextbooks.com III CONTENTS G S Speeds of a If the train covers 130 miles in the same time the car cOvrs 80miles what are the spoods of cach of them a. Let xbe the speed of the car Completw the distance and raecoluns in the e. Whail does the problem tell us alhout the tweo timel Uhe this fact to wrle an Solve the equation. Write your anowr as a complete sentence 30 miles per hour Ha friends are driving the trip and will meet him at eral rest stops along the way. The fir dapi. dodaled 30 mln fom the orpnal starting point. If the people driving leave 15 minutes afher Lou from the same place,bow fast w they hus" todmv toreach thrfrnost d p une time as Lou 7 Speed of a Track A balurry delivery truck lcaves the bakery at S500A ch morning on its 340-mik rouls.One day the driver gets a labe tart and does kave the bakbery until 530M To nish e roule on time the driver dries miles per hour faster than al A what speed does she usualy drive Work Problems .Fillisg aWater Tank A water tank can be hilled by an inlet pige in 8hours h takes twice that king for the outlet pipe to empty the tank take to the tank ifbothppes are open? How long FillingaFoal taks 10 bours to fill apool with the iniet pipc. I can be emp- tied in 15 hours with the outlet pipe If the pool half fuill to begin with how ong will it take to fill it from there i bolh pipes are opemExplanation / Answer
(a) The distance covered by car in time t hours = x t = 60 miles, where x is the speed of the car
The distance covered by train in time t hours = (x+50) t = 120 miles 60 + 50 t = 120
Thus, we have t = 1.2 hours
The speed of the car = (60 / 1.2) miles per hour = 50 miles per hour
The speed of the train = (120 / 1.2) miles per hour = 100 miles per hour
The table for distance, rate and time of the two vehicles:
(b) Already computed in part (a).
(c) If d1 and d2 be the distance covered by car and train in times t1 and t2 respectively
The expression for time for the car t1 = (d1 / x) hours, and
The expression for time for the train t2 = (d2 / (x+50)) hours.
where x is the speed of the car.
(d) From above, we have
x t1 = d1 and (x+50) t2 = d2.
Given t1 = t2 =(t, say) and d1 = 60 miles, d2 = 120 miles, which gives,
x t = 60 and (x+50) t = 120 [From above equations]
These, two equations are already solved in part (a).
Vehicles d r t Car 60 miles 50 miles per hour 1.2 hours Train 120 miles 100 miles per hour 1.2 hoursRelated Questions
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