Indicators have different colours in acids and bases. For eg., Methyl orange turns red in acidic solution and yellow in basic solution.
A weak acid produces a very few numbers of hydrogen ions as compared to strong acid. Due to the low availability of hydrogen ions, the reaction between the indicator and the weak acid does not occur properly, so colour change is weak and slow. But in case of a strong acid, the concentration of hydrogen ions is much higher, hence the indicator solution changes its colour quickly to strong red color.