Cynthia’s afternoon train normally arrives at her station at 5:30 pm each day, where she is picked up by Alan and driven home. One day she was on an earlier train which arrived at 5 pm, and she decided to walk in the direction Alan was coming from home. Alan had left in time to meet the 5:30 pm train, but this time he picked up Cynthia and they arrived home 10 minutes earlier
than usual.For how many minutes had Cynthia walked before Alan picked her up?
(A) 20 (B) 30 (C) 25 (D) 10 (E) 15
4 answers
C, 25 minutes
Could you please explain how you got 25 I'm really struggling to do this question
10 minutes early is the time that would have taken alan to drive the distance that cynthia had walked
since it is forwards and backwards
10/2
=
5
now lets think that if cynthia remained stationary and did not walk
and if she just waited
and alan drives to where she is waiting
the time would be 5:30 yes?
but because she walked
the time would be 5: 25
because the car did not have to drive that 5 minutes
and since they both start out at 5pm
the answer would be 25
since it is forwards and backwards
10/2
=
5
now lets think that if cynthia remained stationary and did not walk
and if she just waited
and alan drives to where she is waiting
the time would be 5:30 yes?
but because she walked
the time would be 5: 25
because the car did not have to drive that 5 minutes
and since they both start out at 5pm
the answer would be 25
btw you need to draw a graph to better understand it