Lara G.
asked • 08/28/19Identify the two variables. Create an equation that represents the distance traveled by Hill- Billie Bean, and a equation that represents the distance traveled by Biker Bean.
Assume Hill-Billie Bean is on his lawnmower at his house. 1 kilometer away is Biker Bean riding his motor scooter towards Hill- Billie to play chicken. Assume the lawnmower is traveling at 5km/hour, and the scotter is travleing at 15km/h
(There are total 4 questions)
How much time will pass until they run into each other?
More
1 Expert Answer
Raymond B. answered • 08/28/19
Tutor
5
(2)
Math, microeconomics or criminal justice
It's 3 minutes if they are coming at each other. See the comment by someone else, with calculations
But if one is chasing the other, as they both go in the same direction, then it's 6 minutes, twice as long, with their combined distances twice as much, 2 km instead of just 1.
They're 1 km apart. Billie tries to escape going 5km/hour Biker catches up at 15km/hour
Billie goes a distance of x. distance = speed times time traveled. x=st =5t
Biker goes a distance of 1+x = 15t
subtract first equation from 2nd 1+x-x = 15t - 5t
1=10t
t=1/10 hours = 6 minutes
x=5t=5(1/10) = 1/2 km for Billie
1+x= 1+1/2 = 1.5 km for Biker
Total distance of each added together is 2 km
Still looking for help? Get the right answer, fast.
Ask a question for free
Get a free answer to a quick problem.
Most questions answered within 4 hours.
OR
Find an Online Tutor Now
Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.
Bakar B.
Great questions Lara! The key variables are: 1) the distance traveled by the KBB (D1) 2) the distance traveled by the BB (D2). The Equation is formed based on the rate/distance relationship of D = r*t where D is the distance traveled by any object, r is the "speed" or rate of travel, and t represents the time passed. D1 = r1*t, & D2 = r2*t Where 1) KBB rate of travel = r1 = 5 km/hr), 2) BBrate of travel = r2 = 15 km/hr), 3) the unknown amount of time until they run into each other (t = ??). Since both objects together will cover the total 1 km distance, D, the formula will reflect the sum of distances traveled by the two objects: D = D1 + D2 . To solve, substitute the equations for D1 and D2: D = r1*t + r2*t , Then substitute the values of the known variables, simplify the equation, and solve for t: 1 = 5*t + 15*t, 1 = (5 + 15)*t, 1 = 20*t, divide each side by 20 t = 1/20 = 0.05 So the amount time until they run into each other is 0.05 hours, which is equivalent to: 0.05hr * (60min/1hr) = 3 min08/28/19