The problem asks us to find today's date based on Ravi's movie-going schedule.
Determine August 1st Day
We know Ravi went to the movie on the first Wednesday of the month, which was $6^{\text{th}}$ August last month. We need to work backward to find the day of the week for the start of September.
- If $6^{\text{th}}$ August is a Wednesday, then:
- $5^{\text{th}}$ August was a Tuesday.
- $4^{\text{th}}$ August was a Monday.
- $3^{\text{rd}}$ August was a Sunday.
- $2^{\text{nd}}$ August was a Saturday.
- $1^{\text{st}}$ August was a Friday.
Calculate September 1st Day
Now we determine the day of the week for $1^{\text{st}}$ September. We need to know the number of days in August.
- August has 31 days.
- The number of days from $1^{\text{st}}$ August to $31^{\text{st}}$ August is $31 - 1 = 30$ days.
- To find the day shift, we calculate $30 \pmod 7$.
- $30 \div 7 = 4$ with a remainder of 2. This means $31^{\text{st}}$ August is 2 days after Friday.
- Friday + 2 days = Sunday. So, $31^{\text{st}}$ August was a Sunday.
- Therefore, $1^{\text{st}}$ September is a Monday.
Find Today's Date
Ravi goes on the first Wednesday of every month. We need to find the date of the first Wednesday in September.
- $1^{\text{st}}$ September is a Monday.
- $2^{\text{nd}}$ September is a Tuesday.
- $3^{\text{rd}}$ September is a Wednesday.
Since Ravi goes on the first Wednesday, and today is that day, today's date is $3^{\text{rd}}$ September.
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Important Questions from Calendar
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If the speeds of the cars are 50 km and 30 km per hour respectively, they will meet each other at
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