In a bicycle race, Lionel gives Robert a 500 m advantage. Also, Lionel agrees to start 15 min after Robert. IF Lionel bikes at 17 km/h and Robert at 14 km/h, how long will it take Lionel after he starts biking to overtake Robert?
2007-08-28 17:14:20 · 1 answers · asked by a 1 in Science & Mathematics ➔ Mathematics
if t is the total time to when they meet:
Distance lionel travels is his speed times the time he is biking. Since he start 1/4 hour after robert, you must subtract that quarter hour from the total time.
17*(t - .25) = distance lionel travels
Robert gets a 1/2 km advantage so the distance he travels is his speed times the time plus that 1/2 km advantage.
0.5 + 14t = distance robert travels
17(t - .25) = .5 + 14t
3t = .5 + 17*.25
3t = 4.75
t = 1.583 hours = 1 hour and 35 minutes
Check: robert R = .5 + 14(1.583) = 22.667 km
lionel = L = 1t (1.5833 - .25) = 22.667 km
2007-08-28 19:31:37 · answer #1 · answered by Captain Mephisto 7 · 0⤊ 0⤋