Posted by James on Monday, November 21, 2011 at 2:11pm.
Fan and Dan took part in a 1000 meter competition. When Fan was at the 800 meter mark, Dan was 300 meters away from the finish line. How many meters away from the finish line was Dan when Fan crossed the finish line?

Math  Ms. Sue, Monday, November 21, 2011 at 2:18pm
100 m

Math  Reiny, Monday, November 21, 2011 at 2:33pm
let the time at which was at the 800 m mark be t
then Fran's rate = 800/t
Dan's rate = 300/t
Let the time it took Fran to run the whole 1000 m be k
1000 = k(800/t)
k = 1000t/800
in that same time of k, distance covered by Dan was
D = k(300/t) , using Distance = rate x time
= (1000t/800)(300/t) = 375
so Dan is still 625 m from the finish line when Fran crosses.

correction  Math  Reiny, Monday, November 21, 2011 at 3:28pm
I think I misread the question.
Dan was 300 m from the finish line, so he had gone 700 m, I took it that he went 300 m
so change all my 300's to 700
D = (1000t/800)(700/t) = 875
so he was 125 m from the finish line.
Answer This Question
Related Questions
 Math  Part of the stage decoration is a "fan" shape and is to be covered with a...
 math  You are a member of your high school track team and you specialize as a ...
 math  In the 400 meter dash runners stay in their lanes the entire distance ...
 physics  A ceiling fan has four blades, each with a mass of 0.40 kg and a ...
 math  dan loves fruit dan paid $4.53 for berries ,and $1325 for peaches with a...
 Physics  Fields  A fan causes a velocity field that falls off inversely with ...
 English  1. The fan is above the desk. (Can we use 'above' any time when the ...
 8th grade math  please help one blade of a fan is parallel to the floor. what ...
 math  one blade of fan is parallel to the floor. what degree of rotation of the...
 algebra 2  15 seconds after the buzzer, the teacher still has 135 meters to go ...
More Related Questions