Miley Cyrus & Liam Hemsworth Go Back to Work

Miley Cyrus’s photoshoot and Liam Hemsworth on set

Bauer-Griffin; Splash News Online

updated 06/07/2012 AT 3:50 PM ET

originally published 06/07/2012 AT 7:00 PM ET

One week after getting engaged, Miley Cyrus and Liam Hemsworth are back at work but in separate cities.

On Wednesday, Cyrus, 19, hit the beach in Malibu for a magazine photoshoot. She’s also writing songs for her next album, and will be in the studio in the coming weeks, a music source tells PEOPLE.

Hemsworth, 22, is in New Orleans where he’s been shooting his upcoming film Empire State with Dwayne Johnson and Emma Roberts.

But don’t expect Cyrus and Hemsworth be apart for long. “Even when they’re working, they find time to be together,” says another source.

Right now, the couple are enjoying being engaged and haven’t dived into wedding planning yet. “She’s playing that part by ear,” adds the source.

For more on Cyrus and Hemsworth’s engagement, including what their families think, pick up this week’s issue of PEOPLE, on newsstands Friday

• Additional reporting by JD HEYMAN


From Our Partners