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A trailer left Mombasa at 10.15 a.m. and travelled towards Nairobi at an average speed of 30 km/h. At 1.35 p.m on the same day a lorry left Mombasa and travelled towards Nairobi at an average speed of 50 km/h on the same road. The distance between Mombasa and Nairobi is 500 km. Assuming that none of the vehicles stopped on the way, determine
a) the time of day when the lorry overlook the trailer.
b) how far outside Nairobi the lorry overtook the trailer.
c) how far outside Nairobi the trailer was when the lorry reached Nairobi