A CAR TAKES 30 MINUTES LESS THAN A BUS TO TRAVEL 90 KM BETWEEN SHAMSHABAD TO YADADRI. IF THE SPEED OF THE CAR IS 15 KM/HR MORE THAN THE SPEED OF THE BUS, THEN FIND THE SPEED OF BOTH VEHICLES?
Answers
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I am not able to put answer of this question
I think you should solve it it self
I am solve in an note book but I don't know how to put the picture on it I am sorry
Answer:
Bus Speed = 45 km/Hr
Car Speed = 60 km/Hr
Step-by-step explanation:
A CAR TAKES 30 MINUTES LESS THAN A BUS TO TRAVEL 90 KM BETWEEN SHAMSHABAD TO YADADRI. IF THE SPEED OF THE CAR IS 15 KM/HR MORE THAN THE SPEED OF THE BUS, THEN FIND THE SPEED OF BOTH VEHICLES?
Let say speed of Bus = B km/Hr
then Speed of Car = B + 15 km/Hr
Distance = 90 km
Time = Distance / Speed
Time taken by Bus = 90/B Hr
Time Taken by Car = 90/(B +15) Hr
Car Takes 30 minute less = 30/60 = 1/2 Hr
Time taken by Bus - Time Taken by Car = 1/2
=> 90/B - 90/(B+15) = 1/2
Multiply both sides by 2B(B+15)
=> 90×2(B+15) - 90×2B = B(B+15)
=> 180B + 2700 - 180B = B² + 15B
=> B² + 15B - 2700 = 0
=> B² + 60B - 45B - 2700 = 0
=> B(B+60) - 45(B+60) = 0
=> (B-45) (B+60) = 0
=> B = 45 ( Bus speed can not be negative so B =-60 not possible)
Bus Speed = 45 km/Hr
Car Speed = 45 + 15 = 60 km/Hr