SOLUTION: Hi, I was just wondering if I set up my problem right. In a bicycle race, Lionel gives Robert a 500 m advantage. Also, Lionel agrees to start 15 min after Robert. If Lionel bikes a

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Hi, I was just wondering if I set up my problem right. In a bicycle race, Lionel gives Robert a 500 m advantage. Also, Lionel agrees to start 15 min after Robert. If Lionel bikes a      Log On

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Question 778983: Hi, I was just wondering if I set up my problem right. 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? This is what I did:
14t=17(t-.25)
14t=17t-4.25
3t=4.25
I got it takes about 1 hour and 24 min.
Thanks.

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Robert bikes at 14 Km/h for 15 min (1/4 hour) before Lionel starts, so 1/4 of 14 is 3.5 Km. Also Lionel spots Robert 500m which is .5 Km we then have
17t = 14t +3.5 +.5
3t = 4
t = 1 1/3 hours
t = 1 hour and 20 minutes