Speed P6 2010 SA2 Maha Modhi P2 Q18

18. Tom is travelling on a bus that is moving at a uniform speed of 30 km/h. If he alights at Bus Stop A, he will walk home by Route A which is 800 m away from his flat.
He can also alight 1 km down the road at Bus Stop B and take the 730 m Route B home.
If Tom walks at a uniform speed of 40 m/min, find:
a) the diffference in time when he alights at the two different bus stops.

b) the earliest time he can reach home if he boards the bus from the interchange 20 km away at 13 05.

Bus Stop A, Route A

800/40 = 20 min

Bus Stop B, Route B

730/40 = 18.25 min

           

1/30 x 60 = 2 min

18.25 + 2 = 20.25 min

               

20.25 - 20 = 0.25 min

                 = 0.25 x 60 s

                 =1 5 s

a) It was 15 s.

20/30 x 60 = 40 min

40 + 20 = 60 min

             = 1 h

          1 h

  |-----------------|

1305               1405

b) It was 14 05.