ABC26GN3680 · Time and Distance

Subject: General Aptitude · Chapter: Time and Distance · Exam: · Marks: · Difficulty:

If a train runs at 40 kmph, it reaches its destination late by 11 minutes but if it runs at 50 kmph, it is late by 5 minutes only. The correct time for the train to complete its journey is
(a)13 min
(b)15 min
(c)19 min
(d)21 min
Answer
Answer (as printed): C
Explanation
Let the correct time to complete the journey be $x$ min. Distance covered in $(x+11) \mathrm{min}$. at 40 kmph $$\begin{aligned} & =\quad \text { Distance covered in }(x+5) \mathrm{min} . \text { at } 50 \mathrm{kmph} \\ & \therefore \quad \frac{(x+11)}{60} \times 40=\frac{(x+5)}{60} \times 50 \Leftrightarrow x=19 \mathrm{min} . \end{aligned}$$

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