A man with $\frac{3}{5}$ of his usual speed reaches the destination $2\frac{1}{2}$ hours late. Find his usual time to reach the destination. 1). 4 hr. 2). 3 hr. 3). $3\frac{3}{4}$ hr. 4). $4\frac{1}{2}$ hr.
$\frac{3}{5}$ of usual speed will take
$\frac{5}{3}$ of usual time.
[Q time & speed are inversely
proportional]
so that,
$\frac{5}{3}$ of usual time
= usual time +$\frac{5}{2}$
=>$\frac{2}{3}$ of usual time =$\frac{5}{2}$
=> usual time
=$\frac{5}{2}\times\frac{3}{2}=\frac{15}{4}=3\frac{3}{4}$