Speed P6

Jacki’s mum leaves home at 12.35 pm every day and arrives 25 minutes later at his school to pick him up. She always cycles at the same speed along the same route. One day Jacki was dismissed early at 12.30 pm, so he started walking home at 6 km/h, hoping to meet her along the way. He met her at X and got onto her bicycle. They reached home 15 minutes earlier than before. How far did Jacki walked before his mum picked him up?


15 / 2 = 7. 5 min

25 : 7.5 = 10 : 3

12.35 am               7.5 min
C [ ][ ][ ][ ][ ][ ][ ][ ][ ][ ] 25 min
                              [ ][ ][ ]
                              7.5 min

                              6 km/h
                             <------ J
                                      12.30 am


10 u --> 25 min
7 u --> 7/10 x 25 = 17.5 min

17.5 + 5 = 22.5 min

6 x 22.5/60 = 2.25 km

It was 2.25 km.