Correct Answer - Option 3 :
\(45 \frac 5 {11} \) m
Given:
Total length of race = 1000 m
A gives B a start of = 120 m
A gives C a start of = 160 m
Concept:
If they start the race together, then B and C would be 120 m and 160 m behind A when A finishes the race.
Calculation:
The ratio of distance covered by A, B, and C if they start the race together when A finishes the race
= 1000 ∶ 880 ∶ 840
∴ In a 880 m race;
B can give a start of 40 m to C.
880 m race C gets start = 40 m
1 m race C gets a start = 40/880 m
1000 m race C gets a start = (40/880) × 1000
= \(45 \frac 5 {11} \) m