# In a race of 600 meters, A can beat B by 60 meters and in a race of 500 meters; B can beat C by 50 meters. By what number of meters will A beat C in a race of 400 meters? A) 76 meters. B) 89 meters. C) 71 meters. D) 84 meters.

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In a race of 600 meters, A can beat B by 60 meters and in a race of 500 meters; B can beat C by 50 meters. By what number of meters will A beat C in a race of 400 meters?

A) 76 meters.
B) 89 meters.
C) 71 meters.
D) 84 meters.

SimplyFreshers Changed status to publish March 28, 2022

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Solution:
Let’s assume A finishes the 600 m race in 60 sec, then
600/60 = 10 m/sec is his speed
B traveled (600-60 = 540 m in 60 sec, therefore
540/60 = 9 m/sec is B’s speed
:
“in a race of 500 metres, B can beat C by 50 metres.”
500/9 = 55.56 sec is B’s time to finish a 500 m race
C traveled 500-50 = 450 m in 55.56 sec, therefore
450/55.56 = 8.1 m/sec is C’s speed
:
By how many will A beat C in a race of 400 metres?
400/10 = 40 sec for A to run a 400 m race
C will travel 8.1*40 = 324 m in 40 sec therefore
C will be 400-324 = 76 m behind when A crosses the finish line