Question
A train travels from station ‘P’ to station ‘Q’
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 ‘P’ and station ‘Q’ is:Solution
According to the question, Let the original speed of the train be ‘x’ km/h and the original time taken to reach the destination be ‘t’ hours. So, the distance between station ‘P’ and ‘Q’ = x × t = xt km So, xt/(x + 20) = t – 1..........................(1) And, xt/(x + 40) = t – 1 – 0.5 Or, xt/(x + 40) = t – 1.5........................(2) Dividing equation (1) by equation (2), we get (x + 40)/(x + 20) = (t – 1)/(t – 1.5) So, xt – 30 – 5x + 20t = xt + 20t – x – 20 Or, 20t – 5x = 10 Or, x = 4/5 × (20t – 10) Putting the value of ‘x’ in equation (1), we get 40t² – 80t = 40t² – 110t + 70 Or, t = 3 So, x = 4/5 × (60 – 10) = 40 Desired distance = 3 × 40 = 120 km
In Delhi, he (a)/ suddenly came across many (b)/ of his friends who had settled there. (c) / No Error (d)
I have been knowing(1)/ him for the last(2)/ five years but now I don’t(3)/ know where he lives.(4)
Read each sentence to find out whether there is any grammatical error in it. The error, if any, will be in one part of the sentence. Mark the part with...
Direction : In each of the questions, a sentence has been divided into four parts, one of which may contain an error. Identify that fragment and mark ...
Select the word that is spelled INCORRECTLY
Over the last year, the record of implementation (1) of the steps in the peace accord has been patchy (2) , though major strides were made in the form o...
- Given below is a sentence with an error. The error is in one part of the sentence. Below the sentence are given the options containing the parts of the sen...
Identify the segment in the sentence, which contains the grammatical error
No matter he tries hard he cannot play the guitar.
The lemons in our neighbor’s garden hanged invitingly, and they took me back to those lazy summer afternoons where we would squander them away in pit...
Beside foggy conditions, (1) / the minimum temperature sharply fall in (2)/ the region as the mercury hovered (3)/ among four degrees below normal to (4...
