Question

A bus covers certain distance with uniform speed. If the speed of the is increased by

10 km/h it would take 2 hours less to complete the journey but if the speed of the

bus is reduced by 5 km/h it would take 1 hour 20 minutes more to complete the

same journey. Find the distance covered by the bus.​

Answer 1

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A bus covers certain distance with uniform speed. If the speed of the is increased by 10 km/h it would take 2 hours less to complete the journey but if the speed of the bus is reduced by 5 km/h it would take 1 hour 20 minutes more to complete the same journey. Find the distance covered by the bus.

$\huge\tt\colorbox{pink}{Answer}$

The distance covered by the bus = 360 km

$\huge\tt\colorbox{red}{Step-by-step}$

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 be increased by 15 km/h, it would have taken two hours less to cover the sam distance

=> D/(S + 15) = D/S - 2

=> DS = DS + 15D - 28 - 305

=> 252 + 305 = 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 + S2-55

=> S2 - 55 = 5D

=> 3S2 - 155 = 15D

2S2 + 30S = 3S2 - 158

=>S2 = 455

=> 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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