Question

The time taken by the first train is $\frac{2}{7}$ of total time and time taken by the second train is $\frac{3}{7}$ of the total time.

What is the total time required for the journey if the time taken by both the trains collectively is 10 hours?

• A. 12 hours
• B. 14 hours
• C. 15 hours
• D. 16 hours

Answer 1

The correct option is B 14 hours

Let the total time of the journey be $x$.
Time taken by the first train = $\frac{2}{7}$ of the total time = $\frac{2}{7}x$
Time taken by the second train = $\frac{3}{7}$ of total time = $\frac{3}{7}x$
Time spent on the journey = 10 hours

So,
$\frac{2}{7}x+\frac{3}{7}x=10$
$\Rightarrow \frac{5}{7}x=10$
$\Rightarrow x=14\text{hours}$