Jane started jogging from the mosque to the nature reserve at a speed of 96 m/min at 9 a.m. Her cousin started jogging from the mosque later. They were beside each other at 9.35 a.m. and her cousin reached the nature reserve at 10 a.m. while Jane was still 1800 m away. If both of them travelled at a constant speed throughout the journey, what time did her cousin leave the mosque?
1 h = 60 min

From 9 a.m. to 10 a.m. = 1 h
From 9.35 a.m. to 10 a.m. = 25 min

Distance between the mosque and the nature reserve
= 60 x 96 + 1800
= 5760 + 1800
= 7560 m

Distance that Jane's cousin had to cover to catch up with Jane
= 35 x 96
= 3360 m

Distance that Jane's cousin travelled to the nature reserve after catching up with Jane
= 7560 - 3360
= 4200 m

Since Jane's cousin jogged 4200 m in 35 min,
Jane's cousin average speed
= 4200 ÷ 25
= 168 m/min

Duration that Jane's cousin took to jog to the nature reserve
= 7560 ÷ 168
= 45 min

Time that Jane's cousin left the mosque:
45 min before 10 a.m. = 9.15 a.m.

Answer(s): 9.15 a.m.