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One day Esta started 30 min late from home and reached the office 50 min late while driving 25% slower than her usual speed. How much time in minutes does Esta take to reach her office from home?
a) 40
b) 60
c) 80
d) 20
Read Solution (Total 3)
-
- as he started 30 mins late and reached 50 min late the diff in time =(50-30)=20 min
let x=speed,t=time
xt=distance
xt=(3/4)(x)(t+20)
by solving we get t=60 min
total time taken to reach her office is 60 min - 11 years agoHelpfull: Yes(24) No(1)
- Difference in time = 50-30=20mins
New speed = 100-25/100=75/100=3/4 of usual speed
New time = 4/3 of usual time
New time - Usual time=20
4/3 of usual time - usual time=20
So Time taken to reach her office is 60mins
- 11 years agoHelpfull: Yes(19) No(1)
- even though she was delayed but the distance from office to home is same,
so let x be the speed and t be the time initially and due to delay the new speed was x-x/4=3x/4 and new time is t+20(since 20 min delay),so
initial distance = x*t
and new distance = (3x/4)*(t+20),
and as i said distance are equal
so, x*t = (3x/4)*(t+20)
=> t=60 min - 11 years agoHelpfull: Yes(5) No(1)
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