Question

Choose the correct answer from the alternative given.
Walking at $\frac{3}{4}$. of his usual speed, a man is $1\frac{1}{2}$ hours late. His usual time to cover the same distance (in hours) is

• A. $4\frac{1}{2}$
• B. $4$
• C. $5\frac{1}{2}$
• D. $5$

Answer 1

The correct option is A $4\frac{1}{2}$

As distance is constant, tune and speed are inversely proportional to each other.
Time = .$\frac{4}{3}$ of usual time.
$\frac{4}{3}$ of usual time - usual time = .$\frac{3}{2}$
$\to \frac{1}{3}\times$ usual time = .$\frac{3}{2}$
Usual time = $\frac{3\times 3}{2}=\frac{9}{2}=4\frac{1}{2}$