Three runners A, B and C run a race, with runner A finishing 12 meters ahead of runner B and 18 meters ahead of runner C, while runner B finishes 8 meters ahead of runner C. Each runner travels the entire distance at a constant speed. What was the length of the race?
Lets assume distance of race = x mtrs.
Then when A finishes x m , B has run (x- 12)mtrs and C has run (x-18) mtrs.
=> at this point B is 6 m ahead of C. Now to finish race b needs to run another 12 m,
=> he runs another 12 m. when B finishes race he is 8 m ahead of C.
so last 12 m B has run, C has run 10 m.as speeds are constant,
=> x-12/ x-18 = 12/10 => x = 48 mtrs.
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Anusha, Banu and Esha run a running race of 100 meters. Anusha is the fastest followed by Banu and then Esha. Anusha, Banu and Esha maintain constant speeds during the entire race. When Anusha reached the goal post, Banu was 10m behind. When Banu reached the goal post Esha was 10m behind. How far was behind Anusha when the latter reached the goal post.
By that time Anusha covered 100m, Bhanu covered 90m. So ratio of their speeds = 10 : 9 By that time Bhanu reached 100m, Esha covered 90m. So ratio of their speeds = 10 : 9 Ratio of the speed of all the three = 100 : 90 : 81
By that time Anusha covered 100m, Esha Covers only 81.
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Alvin, Ben and Clinton run a race, with Alvin finishing 48 meters ahead of Ben and 72 meters ahead of Clinton, while runner Ben finishes 32 meters ahead of runner Clinton. Each runner travels the entire distance at constant speed. What is the length of the race?
Let us assume the speeds of alvin,ben,clinton = A,B,C resp.
and the length of race = d
let in time t alvin finishes the race
A*t=d
B*t=d-48 ------- (1)
C*t=d-72 --------(2)
So,B:C=(d-48):(d-72) ------- (3)
Now Ben covers 48 mt more to complete the race.
In the same time Clinton covers 40mt (as it is given that he is beaten by 32mt by ben)
So,B:C=48:40....(4) (speed proportional to distance covered if time is same)
By, comparing equation (3) and (4)
d=192 mt
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In a 10 km race, A, B, and C, each running at uniform speed, get the gold, silver, and bronze medals, respectively. I f A beats B by 1 km and B beats C by 1 km, then by how many metres does A beat C?
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