I need help math word problem

Question

A tiger is known to chase its target at a speed of 50 mph. Today, a tiger has found his prey among a herd of wild cattle. The wild cow was a quarter of a mile ahead and running at an average speed of 25 mph when the tiger started chasing it. How long will it take the tiger to catch its prey? 

Answer 1

1/4 mile + 25 mph*t = 50 mph* t

1/4 mile =25 mph*t

1/4mile/ 25 mph =t

1/100 hr =t

1/100 hr = 1/100 hr *60min/hr * 60 sec/min

=3600/100 = 36 sec

check:

36 sec * 1 min/60 sec* 1 hour/60 min = 36/3600 hr =1/100hr

tiger : 1/100 hr*50mph = 1/2mile

cow: 1/4mile + 1/100*25=1/4+1/4=1/2

36 seconds

Answer 2

d=rt problem.

When the tiger's distance equals the prey's distance plus the 1/4 mile head start, then the prey is caught.

50t = 25t + 1/4

25t = 1/4

t = 1/100 = 0.01 hour = 0.6 minutes = 36 seconds