Question

Ticket sales for a concert go online on a website at 9 am.

There are 2400 tickets for sale.

The number of tickets sold is directly proportional to the number of seconds after 9 am.

When Julia logs on 550 tickets have been sold.

The tickets are sold out at 9.08 am

Work out the time that Julia logged on to the website.

Answer 1

Total ticket sales time in minutes is $8$ minutes.

Total ticket sales time in seconds

$$8\times60=480(s)$$

The speed of tickets sales

$$2400/480=5\ tickets/s$$

Time during which first 550 tickets were sold

$$550/5=110 \ seconds=1\ minute\ 50\ seconds$$

Julia logged on to the website at $09:01:50\ am$