Question: Each of these items has a question followed by two statements. As the answer,
Type 1, If the question can be answered with the help of statement I alone,
A train started from Station A, developed engine trouble and reached Station B, 40 minutes late. What is the distance between Stations A and B?
The engine trouble developed after travelling 40 km from Station A and the speed reduced to 1/4th of the original speed.
The engine trouble developed after travelling 40 km from station A in two hours and the speed reduced to ¼th of the original speed.
(b) at what distance from A or after how much time after leaving A the train brokedown.
The statement II provides both of these data viz. original speed = 20 kmph and distance from A = 40 kms. and hence only this is required to answer the question.
For e.g: If the distance between A & B is considered to be x, then time taken had it not broken down is x/20 hours.
The new time taken is [2 + (x – 40)/5] hours and we know that this time is 40 min. more than the original time.
The equation becomes : x/20 + 40/60 = [2 + (x – 40)/5], which can be easily solved to get value of x.
Hence, 2.