A woman takes 5hr 45min in walking to certain place and riding back. She would have gained 2hrs by riding both ways. The time she would take to walk both ways is?
Answers:
A) 6 hr 45 min
B) 3 hr 45 min
C) 8 hr 55 min
D) 7 hr 45 min
E) 4 hr 60 min
7 hr 45 min   7 hr 45 min   Let x be the speed of walked   Let y be the speed of ride   Let 7 hr 45 min be the distance   Then 7 hr 45 min/x + 7 hr 45 min/y = 23/4 hr -------------------(1)   7 hr 45 min/y + 7 hr 45 min/y = 23/4 – 2 hr   7 hr 45 min/y = 15/8 ----------------------------------(2)   substitute 2 in 1   7 hr 45 min/x + 15/8 = 23/4   7 hr 45 min/x = 23/4 -15/8 =46-15/8 =31/8   Time taken for walk one way is 31/8 hr   time taken to walk to and fro is 2*31/8 = 31/4 hr   =7 hr 45 min
<result>D</result>
A woman takes 5hr 45min in walking to certain place and riding back. She would have gained 2hrs by riding both ways. The time she would take to walk both ways is?