The incident comes after the country installed a range of safety measures following incidents in which passengers fell onto the tracks.
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Nasrulhudin Najumudin, 26 and Muhammad Asyraf Ahmad Buhari, 24, were part of a technical team sent to investigate an alarm from signalling equipment, operator SMRT Corp said in a statement.
The men, who had just joined SMRT in January, were part of a team of five walking in single file beside an above-ground track when the accident happened, the spokesman said.
They were declared dead on the spot by emergency paramedics. Train services were disrupted for two hours on a section of the major East-West line.
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Police are investigating the incident.
The state-linked SMRT Corp has in recent years come under fire for frequent breakdowns and disruptions.
Last year the rail operator was fined Sg $5.4 million ($3.97 million) for a breakdown that crippled both the North-South and East-West lines. It was the biggest penalty ever imposed on a public transport company in the city-state.
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