Question
A train travels from station βPβ to station βQβ
at a constant speed. If its speed was increased by 20 km/h, it would have taken 1 hour less to cover the distance. It would have taken further 30 minutes less if the speed was further increased by 20 km/h. The distance between station βPβ and station βQβ is:Solution
According to the question, Let the original speed of the train be βxβ km/h and the original time taken to reach the destination be βtβ hours. So, the distance between station βPβ and βQβ = x Γ t = xt km So, xt/(x + 20) = t β 1..........................(1) And, xt/(x + 40) = t β 1 β 0.5 Or, xt/(x + 40) = t β 1.5........................(2) Dividing equation (1) by equation (2), we get (x + 40)/(x + 20) = (t β 1)/(t β 1.5) So, xt β 30 β 5x + 20t = xt + 20t β x β 20 Or, 20t β 5x = 10 Or, x = 4/5 Γ (20t β 10) Putting the value of βxβ in equation (1), we get 40tΒ² β 80t = 40tΒ² β 110t + 70 Or, t = 3 So, x = 4/5 Γ (60 β 10) = 40 Desired distance = 3 Γ 40 = 120 km
Which Indian movie has been nominated for the Best Documentary Short in Oscar Awards 2023?
Which Indian city is known for the Dhuandhar Waterfall?Β
Recently which Indian airports have launched a first one of its kind Vertical axis Wind Turbine Solar PV Hybrid (Solar Mill) to explore the possibility ...
Which festival is celebrated with great enthusiasm in Varanasi?
What is the Permanent Account Number (PAN) issued by the Income Tax Department?
Who is sworn as the new Prime Minister of Australia?
The Union Health Ministry launched Suicide Prevention policy to reduce suicide mortality by 10 % by which year?
How many districts are included in the IndusInd Bank-UNICEF climate resilience initiative?
UNNAT JYOTI BY AFFORDABLE LED FOR ALL (UJALA) is the scheme under ministry of___________?
Which organisation released the AI tool βSUPACEβ?