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Two towns A and B are 220km apart. A bus left town A at 11.00 AM and travelled towards town B at 60km/hr. At the same time, a van left town B for town A and travelled at 80km/hr. The van stopped for a total of 45 minutes on the way before meeting the bus. Calculate the distance covered by the bus before meeting the van. Please show clear working and explanation to get a brainlist !!!

Respuesta :

Answer:

Sa / Va = time traveled by bus a

Sb  / Vb + 3/4  = time traveled by van b

Sa / Va = Sb  / Vb + 3/4      times traveled are the same

            = (220 - Sa) / Vb + 3/4

Sa ( 1 / Va + 1 / Vb) = 220 / 80 + 3/4

Sa (140 / 4800) = 3.5

Sa = 120 km

Check: 120 km / 60 km/hr = 2 hr = Ta

Sb = 1.25 * 80 = 100 km   traveling for 1.25 hrs