Question

Running 3/4th of his usual rate, a man is 15min late. Find his usual time in hours ?
A) 2/3 hrs
B) 3/4 hrs
C) 1/3 hrs
D) 1/4 hrs

Answer 1

Running 3/4th of his usual rate, a man is 15min late. Find his usual time in hours ?
A) 2/3 hrs
B) 3/4 hrs
C) 1/3 hrs
D) 1/4 hrs


Answer:   B) 3/4 hrs 

$\underline{\underline{\Huge\mathfrak{Solution-}}}$

Walking at 3/4th of usual rate implies that time taken would be 4/3th of the usual time.

In other words, the$\bold{time\:taken}$ is 1/3rd more than his usual time

 

so, 1/3rd of the $\bold{usual}$ time = 15min

or usual time =

3 x 15 = 45min


$\hookrightarrow \: \frac{45}{60} hrs \\ \\ \hookrightarrow \: \frac{3}{4} hrs$

Answer 2

Answer: B) 3/4 hrs

Solution-;

◆Walking at 3/4th of usual rate implies that time taken would be 4/3th of the usual time.

◆ In other words, the time taken is 1/3rd more than his usual time

So 1/3rd of the usual time = 15min

or

Usual time =
$3 \times 15 = 45min \\ \\ = \frac{45}{60} hrs \\ \\ = \frac{3}{4}$

= 3/4 hrs.