Joel begins bicycling north at 18 km/hr at noon. Lucas leaves from the same place fifteen minutes later to catch him. If Lucas bicycles north at 24 km/hr, when will he catch Joel?

note: pls pakisagutan po ng maayos,Tommorow na po kasi due date namin,brainliest ko ung tama and report sa nonsense

Question

Answered

Sagot :

Sorrow477447viz Sorrow477447viz · Answer 1

Answer:

in 45 minutes

Step-by-step explanation:

let x be the time in hours

speed=distance/time, so distance=speed*time

Joel travels 18 km/hr and is 15 mins ahead of lucas, so:

Joel's distance at x time = 18(x+0.25) [convert 15 mins to hr]

Lucas' distance at x time = 24x

Lucas will catch Joel when they are at the same distance, so:

18(x+0.25)=24x [equating the distances of both Joel and Lucas at x time)

18x+4.5=24x

4.5=6x

x=0.75 hrs or 45 minutes