Vanessa started jogging from the cinema to the garden at a speed of 100 m/min at 5 a.m. Her brother started jogging from the cinema later. They were beside each other at 5.36 a.m. and her brother reached the garden at 6 a.m. while Vanessa was still 1200 m away. If both of them travelled at a constant speed throughout the journey, what time did her brother leave the cinema?
1 h = 60 min

From 5 a.m. to 6 a.m. = 1 h
From 5.36 a.m. to 6 a.m. = 24 min

Distance between the cinema and the garden
= 60 x 100 + 1200
= 6000 + 1200
= 7200 m

Distance that Vanessa's brother had to cover to catch up with Vanessa
= 36 x 100
= 3600 m

Distance that Vanessa's brother travelled to the garden after catching up with Vanessa
= 7200 - 3600
= 3600 m

Since Vanessa's brother jogged 3600 m in 36 min,
Vanessa's brother average speed
= 3600 ÷ 24
= 150 m/min

Duration that Vanessa's brother took to jog to the garden
= 7200 ÷ 150
= 48 min

Time that Vanessa's brother left the cinema:
48 min before 6 a.m. = 5.12 a.m.

Answer(s): 5.12 a.m.