A can beat b by 20 yards in a race of 200 yards. b can beat c by 10 yards in a race of 250 yards. by how many yards can a beat c in a race of 100 yards?
Answers
Answered by
4
Solution:-
let:-
a = A' s speed .
b = B' s speed.
c = C's speed.
》 In the time A has run 200 yards, B has run only 180 yards.
》B's speed is 180/200 = 9/100 of A's speed b=(9/10)×a........ .[1]
In the time B gas run 250 yards, C has run only 240 yards.
》C's speed is 240/250=24/25 of B's speed 》c=24/25b..........[2]
Substitute [1] into [2]
》c=24/25(9a/10)
》c=108a/125
That is, C's speed is 108/125 of A's speed.
When A has run 100 yards, C has run only 108/125(100)=86.4 yards.
Therefore, A wins by( 100- 86.4) = 13.6yards.
☆i hope its help☆
let:-
a = A' s speed .
b = B' s speed.
c = C's speed.
》 In the time A has run 200 yards, B has run only 180 yards.
》B's speed is 180/200 = 9/100 of A's speed b=(9/10)×a........ .[1]
In the time B gas run 250 yards, C has run only 240 yards.
》C's speed is 240/250=24/25 of B's speed 》c=24/25b..........[2]
Substitute [1] into [2]
》c=24/25(9a/10)
》c=108a/125
That is, C's speed is 108/125 of A's speed.
When A has run 100 yards, C has run only 108/125(100)=86.4 yards.
Therefore, A wins by( 100- 86.4) = 13.6yards.
☆i hope its help☆
Similar questions