a bus covers a certain distance with uniform speed if the speed of the bus would have been increased by 15 km/h, it would have taken two hours less to cover the same distance. and if the speed of the bus wolud have decreased by 5 km/h,it would have taken one hour more to cover the same distance. font the distance covered by the bus.
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Ans
the distance covered by the bus = 360 km
Step-by-step explanation:
Let say Say Distance Covered by Bus = D km
Speed of Bus = S km/hr
Time to be taken = D/S hr
if the speed of the bus would have been increased by 15 km/h, it would have taken two hours less to cover the same distance
=> D/(S + 15) = D/S - 2
=> DS = DS + 15D - 2S² - 30S
=> 2S² + 30S = 15D
if the speed of the bus wolud have decreased by 5 km/h,it would have taken one hour more to cover the same distance.
=> D/(S - 5) = D/S + 1
=> DS = DS - 5D + S² - 5S
=> S² - 5S = 5D
=> 3S² - 15S = 15D
2S² + 30S = 3S² - 15S
=>S² = 45S
=> S = 45
Speed of Bus = 45 km/hr
S² - 5S = 5D
=> 45² - 5*45 = 5D
=> D = 360
the distance covered by the bus = 360 km
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