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X, Y and Z are three contestants in a race of 1000 m. Assume that all run with different uniform speeds. X gives Y a start of 40 m and X gives Z a start of 64 m. If Y and Z were to complete in a race of 1000 m, how much meters start will Y give to Z ?

X, Y and Z are three contestants in a race of 1000 m. Assume that all run with different uniform speeds. X gives Y a start of 40 m and X gives Z a start of 64 m. If Y and Z were to complete in a race of 1000 m, how much meters start will Y give to Z ? Correct Answer 25

Given :

X, Y and Z are three contestants in a race of 1000m. 

X gives Y a start of 40 m and X gives Z a start of 64 m.

Concept used :

Speed is directly proportional to the distance covered. 

Calculations :

X gives Y a start of 40m, so when Y complete 960m X will complete 1000m 

Speed of X : Speed of Y = 1000 : 960 

⇒ 25 : 24 

Similarly X give Z a start of 64 m, so when Z complete 936m X will complete 1000m 

speed of X : speed of Z = 1000 : 936 

⇒ 125 : 117

So, 

Speed of Y : speed of Z = 40 : 39 

so, when Y complete 1000m Z will complete 975m 

∴ Option 2 will be the correct choice

 

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