1.

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 ?

Answer»

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

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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