Train T1 leaves Delhi at 8 a.m. at 60 km/h and T2 leaves at 9 a.m. at 80 km/h, both on parallel lines in the same direction. T3 leaves Delhi at 10 a.m. and draws level with T1 and T2 at the same instant. What is T3's speed?

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Accepted Answer

120 km/h. T2 catches T1 when 60t=80(t-1) → t=4 h after 8 a.m. (noon), 240 km out. T3 must cover 240 km between 10 a.m. and noon → 120 km/h.

Train T1 leaves Delhi at 8 a.m. at 60 km/h and T2 leaves at 9 a.m. at 80 km/h, both on parallel lines in the same direction. T3 leaves Delhi at 10 a.m. and draws level with T1 and T2 at the same instant. What is T3's speed?

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