Math
posted by Jamie .
A cyclist and a jogger start from a town at the same time and head for a destination 6 mi away. The rate of the cyclist is twice the rate of the jogger. The cyclist arrives 3 hr ahead of the jogger. find the rate of the cyclist.
This is what i got so far but its not adding up.
r t d
cyclist 2x*3=6
jogger x*3=6

It always helps to define the variables used, with the units, and cite the equations you use.
Distance = speed * time, or
time = distance/speed
Let
x=speed of cyclist, m.p.h.
x/2=speed of jogger, m.p.h.
D=distance, 6 mi.
"The cyclist arrives 3 hr ahead of the jogger. find the rate of the cyclist. "
means that the difference of the time taken by each is 3 hours.
So we write the equation:
(D/(x/2)  D/x = 3 hours
On simplifying,
D/x = 3 hours
x=D/3=2 mph (cyclist)
x/2=2/1=1 mph (jogger)
Check:
Time for cyclist: 6/2= 3 hours
Time for jogger: 6/1=6 hour.
OK
Respond to this Question
Similar Questions

Math word problem
Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist eho is traveling at 6 miles per hour. How much time will pass before the second … 
math
A cyclist and a jogger start from a town at the same time and headed for a destination 24 mi away. The rate of the cyclist is twice the rate of the jogger. The cyclist arrives 3hrs ahead of the jogger. Whats the rate of the cyclist? 
Math
A cyclist and a jogger start from a town at the same time and head for a destination 11 mi away. The rate of the cyclist is twice the rate of the jogger. The cyclist arrives 1.1 h before the jogger. Find the rate of the cyclist. 
maths
a cyclist and jogger are 20 miles apart. the cyclist rides at 17 mph and the jogger runs at 7 mph. they move towards each other. a fly starts on the nose of the cyclist and flies at 20 mph from the cyclist to the runner and back. it … 
Algebra
Two cyclists leave towns apart at the same time and travel toward each other. One cyclist travels slower than the other. If they meet in hours, what is the rate of each cyclist? 
Algebra
Two cyclists leave towns apart at the same time and travel toward each other. One cyclist travels slower than the other. If they meet in hours, what is the rate of each cyclist? 
Physics
A cyclist starts from rest and coasts down a 6.5∘{\rm ^\circ} hill. The mass of the cyclist plus bicycle is 95kg{\rm kg} . The cyclist has traveled 270m{\rm m} .What was the net work done by gravity on the cyclist? 
Physics
I'm not sure of where to begin with this question? 
physics
Two cyclists start out on the same trail together that is overall 20km long. The first cyclist completes the entire trail and is traveling at a constant 20 km/hr for the away part of the trip and then only 15 km/hr for the return trip. … 
biomechanics
A cyclist is coasting up a hill. At t=0, the cyclist has a velocity of 14.27 m/s. If the acceleration of the cyclist is constant at 1.67 m/s2, how long will it take the cyclist to come to a complete stop?