math
posted by Michelle .
How long will it take a bus traveling at 60 miles per hour to overtake a car traveling at 40 mph if the car had a 1.5 hour head start?

math 
DrBob222
distance = rate x time
Let t = time bus travels
then t+1.5 hours = time car travels
60t = distance traveled by bus.
40(t+1.5) = distance traveled by car.
distance traveled by bus = distance by car.
60t = 40(t+1.5)
solve for time, then use
d = rt to determine the distance. 
math 
Reiny
let the time it takes for the bus to catch up to the car be t hours
So the bus went 60t miles
but meantime, the car went for t+1.5 hours at 40 mph for a distance of 40(t+1.5
But when the bus catches up to the car, haven't both gone the same distance ??
so
60t = 40(t+1.5)
60t = 40t + 60
20t = 60
t = 3
so it will take 3 hours
check: in 3 hours the bus went 3(6) = 180 miles
the car went for 4.5 hrs at 40 = 180 miles
Checks out !!! 
math 
Anonymous
A kayak was reduced from $750 to $600, what percentage was it reduced?
Respond to this Question
Similar Questions

Help!...Math...
Two cars leave town going opposite directions. One car is traveling 55 mph, and the other is traveling 65 mph How long will it take before they are 180 miles apart? 
word problem!!! algebra
at noon, a cargo van crosses an intersection at 30 mph. At 12:30 pm, a car crosses the same intersection traveling in the opposite direction. At 1 pm, the van and car are 54 miles apart. How fast is the car traveling? 
math
distance = rate x time or d = r*t car traveling 40 mi/hr goes 40 mi/hr x 1.5 hrs head start or 60 miles head start. Let t = time bus and car travel. car travels distance of r*t = 40*t. Car already had 60 mi head start. Total distance … 
Algebra! Help needed!
I'm having a little trouble with this problem... Please try and walk me through the problem, too: #1. A motorboat leaves a dock and travels at an average speed of 15 mi/h toward an island. The average speed on the return trip is 10 … 
math
how long will it take a bus travelling at 60 miles per hour to overtake a car travelling at 40 mph if the car had a 1.5 hour head start 
Algebra
How long will it take for a car that is traveling at 60 mph to overtake a bus that is traveling at 50 mph if the bus had a 2hour head start? 
algebra
How long will it take a car traveling at 60 mph to overtake a bus traveling at 40 mph if the bus had a 1.5 hour head start? 
Math
How long will it take a car traveling 65 mph to pass a car traveling 45 mph if the slower car had a 2 hour lead? 
math
a car traveling 64 miles per hour passes a bus traveling 53 mph in the same direction on the highway, if they maintain their speeds, how long will it take them to be 17.5 miles apart 
Algebra
Two cars are traveling at 40 and 50 miles per hour, respectively. If the second car starts out 5 miles behind the first car. How long will it take the second car to overtake the first car?