SOLUTION: a person on a bike leaves an hour before a person on a motorcycle. the person on the bike is travelling at 10 mph. the person on the motorcycle is travelling at 40 mph. how long be

Question 154100: a person on a bike leaves an hour before a person on a motorcycle. the person on the bike is travelling at 10 mph. the person on the motorcycle is travelling at 40 mph. how long before the person on the motorcycle overtakes the person on the bike?
Found 2 solutions by checkley77, nerdybill:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
10(X+1)=40X
10X+10=40X
10X-40X=-10
-30X=-10
X=-10/-30
X=.33 HOURS THE MOTORCYCLE WILL OVERTAKE THE BIKER.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
a person on a bike leaves an hour before a person on a motorcycle. the person on the bike is travelling at 10 mph. the person on the motorcycle is travelling at 40 mph. how long before the person on the motorcycle overtakes the person on the bike?
.
Let t = time it takes person on motorcycle to overtake
t+1 = time person on bike traveled
.
Applying the "distance formula"
d = rt
where
d is distance
r is rate or speed
t is time
.
For motorcycle person to overtake bicycle person, the distance traveled by both must be the same:
40t = 10(t+1)
40t = 10t + 10
30t = 10
t = 10/30
t = 1/3 hour
Or, in terms of minutes:
t = 1/3 * 60 = 20 minutes

RELATED QUESTIONS
A person on a bike is going 18 mph. One hour after the person on a bike leaves, a... (answered by josmiceli)
A person riding a motorcycle leaves an hour after a person riding a bicycle. Both travel... (answered by josgarithmetic,ikleyn,MathTherapy)
tom leaves school on a bike going 10 mph. zeke leaves school 1 hour later going the same... (answered by checkley77)
if a person rents a bike at 2pm and cycles for 18 miles then returns the bike at 5pm what (answered by josgarithmetic)
At 4 PM Alexis leaves school on her bike traveling west. Mitch leaves school at the same (answered by josgarithmetic)
A guy on a bike leaves from point A going 18 MPH. One hour later a car leaves from the... (answered by rfer,Alan3354)
A person riding a motorcycle leaves 1 hr after a person riding a bicycle. Both travel... (answered by ankor@dixie-net.com)
A person departs Tucson driving east on I-10 at 65 mph. One hour later a second person... (answered by solver91311)
a motorcycle leaves a gas station at an average speed of 20 mph. another motorcycle... (answered by funmath)