1. **State the problem:** You want to find the time you must leave according to your lounge room clock to catch the tram that leaves early. 2. **Identify the given information:** - Lounge room clock is 10 minutes slower than your phone clock. - Phone clock is 6 minutes slow (behind actual time). - Tram leaves 6 minutes early from its scheduled time of 8:55 am. - It takes 20 minutes to get to the tram stop. 3. **Calculate the actual time the tram leaves:** Scheduled time = 8:55 am Tram leaves 6 minutes early, so actual tram departure time = $$8:55 - 0:06 = 8:49\ \text{am}$$ 4. **Calculate the actual time you must leave to catch the tram:** You need to arrive at the tram stop by 8:49 am. Travel time = 20 minutes So, leave time (actual) = $$8:49 - 0:20 = 8:29\ \text{am}$$ 5. **Convert the actual leave time to your lounge room clock time:** Your phone clock is 6 minutes slow, so actual time = phone time + 6 minutes. Lounge room clock is 10 minutes slower than phone clock, so lounge room clock time = phone time - 10 minutes. Let $T_{actual}$ be actual time, $T_{phone}$ be phone time, and $T_{lounge}$ be lounge room clock time. From phone clock: $$T_{actual} = T_{phone} + 6$$ So, $$T_{phone} = T_{actual} - 6$$ From lounge room clock: $$T_{lounge} = T_{phone} - 10 = (T_{actual} - 6) - 10 = T_{actual} - 16$$ 6. **Calculate lounge room clock leave time:** $$T_{actual} = 8:29\ \text{am}$$ Convert 8:29 am to minutes after midnight: $$8 \times 60 + 29 = 509\ \text{minutes}$$ Lounge room clock time in minutes: $$509 - 16 = 493\ \text{minutes}$$ Convert back to hours and minutes: $$493 \div 60 = 8\ \text{hours} \text{ remainder } 13\ \text{minutes}$$ So, lounge room clock time to leave is 8:13 am. **Final answer:** You must leave at **8:13 am** according to your lounge room clock to catch the tram.