A bus covers a distance of 120km in 4 hours with an uniform speed what distance will it cover 2 hours with the same speed?
Answers
Answer:
According to the given problem,
A bus covers a certain distance at a speed of 120 km/hr in 5 hrs.
Let S denotes the speed at which the bus must travel in order to cover the same distance in [5 (1/2) =] 11/2 hrs.
Hence we get the following relation,
S*(11/2) = 120*5
or S = 1200/11 = 109 (1/11) = 109.09 (km/hr) [Ans]
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ANSWER
Uniform speed =x km/h
Uniform speed =x km/hdistance =240 km
Uniform speed =x km/hdistance =240 kmtime =
Uniform speed =x km/hdistance =240 kmtime = Speed
Uniform speed =x km/hdistance =240 kmtime = SpeedDistance
Uniform speed =x km/hdistance =240 kmtime = SpeedDistanceDue to heavy rain speed =(x−10) km/h
Uniform speed =x km/hdistance =240 kmtime = SpeedDistanceDue to heavy rain speed =(x−10) km/hNow time =
Uniform speed =x km/hdistance =240 kmtime = SpeedDistanceDue to heavy rain speed =(x−10) km/hNow time = x−10
Uniform speed =x km/hdistance =240 kmtime = SpeedDistanceDue to heavy rain speed =(x−10) km/hNow time = x−10240 hours
Uniform speed =x km/hdistance =240 kmtime = SpeedDistanceDue to heavy rain speed =(x−10) km/hNow time = x−10240 hoursAccording to question
Uniform speed =x km/hdistance =240 kmtime = SpeedDistanceDue to heavy rain speed =(x−10) km/hNow time = x−10240 hoursAccording to questionx−10
Uniform speed =x km/hdistance =240 kmtime = SpeedDistanceDue to heavy rain speed =(x−10) km/hNow time = x−10240 hoursAccording to questionx−10240x
x240
x240 =2
x240 =2x(x−10)
x240 =2x(x−10)240x−240(x−10) =2
x240 =2x(x−10)240x−240(x−10) =2x
x240 =2x(x−10)240x−240(x−10) =2x 2
x240 =2x(x−10)240x−240(x−10) =2x 2 −10x
x240 =2x(x−10)240x−240(x−10) =2x 2 −10x240x−240x+2400 =2
⇒2x
⇒2x 2
⇒2x 2 −20x−2400=0
⇒2x 2 −20x−2400=0⇒x
⇒2x 2 −20x−2400=0⇒x 2
⇒2x 2 −20x−2400=0⇒x 2 −10x−1200=0
⇒2x 2 −20x−2400=0⇒x 2 −10x−1200=0x
⇒2x 2 −20x−2400=0⇒x 2 −10x−1200=0x 2
⇒2x 2 −20x−2400=0⇒x 2 −10x−1200=0x 2 −40x+30x−1200=0
x(x−40)+30(x−40)=0
x(x−40)+30(x−40)=0⇒(x−40)(x+30)=0
x(x−40)+30(x−40)=0⇒(x−40)(x+30)=0x=40 and x=−30 (speed can not be negative)
x(x−40)+30(x−40)=0⇒(x−40)(x+30)=0x=40 and x=−30 (speed can not be negative)∴ uniform speed =40 km/h.