Question

a bus covers a distance of 240 km at a uniform speed due to heavy rain its speed gets reduced by 10 kilometres per hour and as such it takes 2 hours longer to cover that this Total distance Asma uniform speed to be extra metres from an equation and solve it to evaluate x

Answer 1

then let the speed of the bus be x km/h. then time taken by the bus for the first=240/x hrs. and time taken by the bus after raining to cover the distance=240/x-10.by the question we have, (240/x-10)-(240/x)=2hrs.=>2400=2x(x-10)=>2x²-20x-2400=0=>x²-10x-1200=0=>x²-(40-30)x-1200=0=>x(x-40)+30(x-40)=0=>x=40km/h. hence the speed of the bus=40km/h.
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