A train takes 45 minutes to cover a certain distance at a speed of 80 km/h. If the speed is increased by 125%, then how long will it take the train to cover $$\frac{8}{5}$$ of the same distance?

A. 25 minutes

B. 30 minutes

C. 32 minutes

D. 28 minutes

Answer: Option C

Solution(By Examveda Team)

Distance = Speed × Time
Distance = 45 min × 80
After incrassation the speed $$ = \frac{{80 \times 225}}{{100}} = 180{\text{ km/hr}}$$
$$\eqalign{ & 45 \times 80 \times \frac{8}{5} = 180 \times t\left\{ {{s_1} \times {t_1} = {s_2} \times {t_2}} \right\} \cr & t = 32{\text{ minutes}} \cr} $$