# 1. Option 1

A cyclist is riding on a track at a constant speed. It is known that at $11:22$ he had traveled 1.4 times the distance he had traveled by $11:08$. When did he start?
Format the answer as follows: $15: 45$.

Answer. 10:33.

Solution. Let the cyclist have traveled $x$ km by 11:08, then by 11:22 he had traveled $1.4 x$ km. Therefore, in 14 minutes (from 11:08 to 11:22), he traveled $0.4 x$ km. To travel $x$ km, it took him two and a half times longer, that is, 35 minutes.

## Variant 2

A cyclist is riding a track at a constant speed. It is known that at $11: 43$ he had traveled 1.4 times the distance he had traveled at $11: 29$. When did he start?

Format the answer as follows: $15: 45$.

Answer. 10:54.

## Variant 3

A cyclist is riding a track at a constant speed. It is known that at 09:12 he had traveled 1.4 times the distance he had traveled at $08: 58$. When did he start?

Format the answer as follows: $15: 45$.

Answer. $08: 23$.

## Variant 4

A cyclist is riding a track at a constant speed. It is known that at 10:26 he had traveled 1.4 times the distance he had traveled at $10: 12$. When did he start?

Format the answer as follows: 15:45.

Answer. 09:37.

## Variant 5

A cyclist is riding a track at a constant speed. It is known that at $13: 11$ he had traveled 1.4 times the distance he had traveled at $12: 57$. When did he start?

Format the answer as follows: $15: 45$.

Answer. 12:22.