Question

You have the following results from preliminary races:

Freya beats Ingeborg by 136 meters in a 800-meter race.
Christian beats Freya by 178 meters in a 2300-meter race.
Christian beats Astrid by 475 meters in a 3200-meter race.

By how many meters will Astrid beat Ingeborg in a 2100-meter race?

Answer 1

Answer:

Astrid will beat Ingeborg by 80 m in 2100 m race.

Step-by-step explanation:

Freya is 1.242236 times faster than Ingeborg. Christian is 1.08388 times faster than Freya and 1.297619 times faster than Astrid.

F= 1.242236 I,  C= 1.08388 F,  C= 1.297619 A.

Therefore: F= 1.297619A / 1.08388 = 1.197198 A

1.197198 A = 1.244236 I

A= 1.03929 I

I = 2100 m : 1.03929 = 2020 m

2100 m - 2020 m = 80 m.

Answer 2

Answer

we will  solve it step by step

As Freya runs 136 metrs more than ingebog the speed of freya is 1.24 times than Ingeborg.

and christian runs 178 meters more than ingebog the speed of freya is 1.08 times than Ingeborg.

\Freya= 1.24 times faster than ingebg ,

 Christian= 1.08388 times faster than Freya,  

Christian= 1.29 times faster than Astrid

Therefore

Freya= 1.29 astrid / 1.08 = 1.19 Astrid

1.19 Astrid = 1.24 Ingebg

Astrid= 1.03929 Ingbeg

Ingbeg = 2100 m : 1.03=2100/1.03 = 2020 m

2100 m - 2020 m = 80 m.

Astrid will beat Ingeborg by 80 m in 2100 m race.