Ahmad leaves Jurong East MRT station at 11:52 p.m. He takes the East-West Line and arrives at Raffles Place MRT station 35 minutes later. At Raffles Place, the last North-South Line train to Toa Payoh departs at 12:40 a.m. The North-South Line journey from Raffles Place to Toa Payoh takes 27 minutes. If Ahmad catches the last North-South Line train, at what time does he arrive at Toa Payoh?
Show Worked Solution
Worked Solution
Step 1: Find Ahmad's arrival time at Raffles Place.
Departure from Jurong East: 11:52 p.m.
Time until midnight: 12:00 a.m. - 11:52 p.m. = 8 minutes
Remaining journey after midnight: 35 - 8 = 27 minutes
Arrival at Raffles Place: 12:00 a.m. + 27 min = 12:27 a.m.
Step 2: Determine whether Ahmad makes the last train.
Last North-South Line train departs 12:40 a.m.
Ahmad arrives at 12:27 a.m. -> 13 minutes before the last train.
Step 3: Ahmad boards the last train at 12:40 a.m. (not at 12:27 a.m.).
Step 4: Add the North-South Line journey time.
12:40 a.m. + 27 minutes
= 12:40 + 20 min -> 1:00 a.m.
= 1:00 a.m. + 7 min -> 1:07 a.m.
Ahmad arrives at Toa Payoh at 1:07 a.m.
Correct answer: 1:07 a.m.
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