SOLUTION: In the Canada, Medicine Hat and Cranbrook are 300 km apart. Sam rides his motorcycle 20 km per hr faster that Brian rides his motorcycle. Find Sam's average speed if he travels fro
Algebra.Com
Question 384299: In the Canada, Medicine Hat and Cranbrook are 300 km apart. Sam rides his motorcycle 20 km per hr faster that Brian rides his motorcycle. Find Sam's average speed if he travels from Cranbrook to Medicine Hat in one and one quarter of an hour less time than Brian.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
In the Canada, Medicine Hat and Cranbrook are 300 km apart. Sam rides his motorcycle 20 km per hr faster that Brian rides his motorcycle. Find Sam's average speed if he travels from Cranbrook to Medicine Hat in one and one quarter of an hour less time than Brian.
...
Brian's speed = x mph
Brian's time = 300/x
..
Sam's speed = x+20
sam's time = 300/(x+20)
..
Time Brian - Time Sam = 1 1/4 = 5/4
..
300/x -300/(x+20)= 5/4
..
LCD + x(x+20)
...
..
cross multiply
5x(x+20)=4*6000
5x^2+100x=24,000
-24,000 -24,0000
5x^2+100x-24,000=0
/5
x^2+20x-4800=0
x^2+80x-60x-4800=0
x(x+80)-60(x+80)=0
(x+80)(x-60)=0
Brian's speed
Sam's speed
....
m.ananth@hotmail.ca
RELATED QUESTIONS
in canada, medicine and cranbrook are 300Km apart. Harry rides 20 Km per hr faster than... (answered by ankor@dixie-net.com)
Medicine Hat & Cranbrook are 300 Km apart. Steve rides his Harley 20 Km per hr faster... (answered by josgarithmetic)
two cyclists start toward each other from two towns that are 46 km apart. one cyclist... (answered by nerdybill)
Juan rides his motorcycle 108 km in 1 1/2 hours. What is his average speed in kilometers... (answered by Alan3354)
City A and City B are 200 km apart. Harry rides his bike 20 km faster than Yoshi rides... (answered by ikleyn)
sally lives in chicago rocky lives in ohio 315 kilometers apart sally rides her... (answered by ptaylor)
For exercise, Joseph likes to walk and Vincent likes to ride his bike. Vincent rides his... (answered by richwmiller)
Noah rides his motorcycle 399 km with a constant speed of 84 km/h and another 250 km with (answered by josgarithmetic,ikleyn)
Sam and Alisha are each driving to a concert in a nearby city, 126 km away. Sam has a... (answered by josgarithmetic)