SOLUTION: Three friends Smith, Jack and Pamila are walking at the speed of 3, 4, 5 km/h respectively. They start from same place at 1pm, 2pm and 3pm respectively. When Jack reaches Smith, he

Question 951797: Three friends Smith, Jack and Pamila are walking at the speed of 3, 4, 5 km/h respectively. They start from same place at 1pm, 2pm and 3pm respectively. When Jack reaches Smith, he sends him back with a message for Pamila. At what time will Pramila get the message.
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
From 1 PM to 2 PM is 1 hr
Smith travels:

km
----------------
I start a stopwatch when Jack leaves,
and stop it when Jack catches Smith,
Let = distance Jack travels
until Jack catches Smith
Let = time in hrs for
Jack to catch Smith
----------------------------
Smith's equation:
(1)
Jack's equation:
(2)
---------------------
Substitute (2) into (1)
(1)
(1) hrs
and
(2)
(2)
(2) km
---------------------
hrs have passed
since 1 PM
That means Pamela left 1 hr ago
at 3 PM
In hr, she travels:

km
------------------
That means she is km
behind Smith when Smith turns around
= distance Smith travels until they meet
= time in hrs until they meet
----------------------------------
Smith's equation:
(1)
Pamela's equation:
(2)
----------------------
Substitute (1) into (2)
(2)
(2)
(2)
------------------------
Add the hrs since Smith left
to hrs until they meet

1 PM + 4 hrs 52.5 min =
52 min 30 sec after 5 PM is the time
when Pamela gets the message
------------------
Hope I got it!

Answer by MathTherapy(10557) (Show Source): You can put this solution on YOUR website!

Three friends Smith, Jack and Pamila are walking at the speed of 3, 4, 5 km/h respectively. They start from same place at 1pm, 2pm and 3pm respectively. When Jack reaches Smith, he sends him back with a message for Pamila. At what time will Pramila get the message.

Time Pamila got message: PM
You can do the check!!
===================
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