ANSWER
No, she won't catch the bus on time.
Step-by-step explanation
Pav gets up at 7.10 am and spends 45 minutes getting ready. 45 minutes from 7.10 am is,
Then she spends 5 minutes looking for her umbrella. 5 minutes from 7.55 am is,
Then, she puts out the washing for another 15 minutes. 15 minutes from 8 am is,
And then, she has a 6-minute walk to the bus stop. 6 minutes from 8.15 am is,
Pav will get to the bus stop at 8.21 am and, therefore, she will not catch the bus on time.