SOLUTION: two runners start running laps at the same time, from the same starting position. george runs a lap in 50 seconds, sue runs a lap in 30 seconds. when will the runners next be side

Question 338460: two runners start running laps at the same time, from the same starting position. george runs a lap in 50 seconds, sue runs a lap in 30 seconds. when will the runners next be side by side?
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let s=speed, t=time, d=distance
st=d
sue's speed = 1/30 lap/sec, george's=1/50
the distance is in laps
time is in secs.
t=d/s The time of both of them will be equal when george is lapped.
Let x=number of laps.
.
(x+1)/(1/30)=x/(1/50)
(x+1)/50=x/30
3(x+1)=5x
3x+3=5x
2x=3
x=3/2 laps
50 * 3/2 = 75 sec. Next time they will be side by side.
.
Ed
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