some part of the journey of 555km.was completed by a car with speed 60km/hr,then the speed is increased by 15km/hr and the journey is completed. if it takes 8 hours to reach,find the time taken and the distance covered at speed of 60km/hr
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Step-by-step explanation:
let the time taken by the car be x hrs for 60 km/h and y hrs for 15km/h.
therefore distance covered by the car with speed of 60km/h=60x
bistance coverd by the car with the speed of 15km/m=15y
According to question we have x+y =8....(1)
60x +15y=555....(2)
15(4x+y)=555
4x+y=555/5
4x+y=37.....(5)
multiplying (1)by 4,we get
x+y=8..(1)
4x+4y=32....(4)
subtracting (3) with (4), we get
37-32
x=5
therefore time taken by the car at the speed of 60km/h is 5hrs
the car with the speed of 60km/h =60×5
300km
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