Discussion Forum

In 1760 m Race, A can beat B by 44 m. While in a 1320 m, B can beat C by 30m. By What distance will A beat C in a 880 m Race ?

Answer:

Explanation:

When A covers the distance of 1760 m, B covers only $1760-44$ =1716 m

In 1320 m race, B can beat C by 30 m.

If B runs 1320 m, C runs $1320-30$ =1290 m

If B runs 1716 m, C runs $=\frac{(1290\times 1716)}{1320}$ = 1677 m

$A:B:C$ $=1760:1716:1677$

Hence A will beat C by $1760-1677$ $=83$ m in 1760 m race

i.e. $\frac{83}{2}$ $=41\frac{1}{2}$ m in 880 race.