MathDB

Chandler the Octopus along with his friends Maisy the Bear and Jeff the Frog are solving LMT problems. It takes Maisy

3

minutes to solve a problem, Chandler

4

minutes to solve a problem and Jeff

5

minutes to solve a problem. They start at

12:00

pm, and Chandler has a dentist appointment from

12:10

pm to

12:30

, after which he comes back and continues solving LMT problems. The time it will take for them to finish solving

50

LMT problems, in hours, is

m/n

,where

m

and

n

are relatively prime positive integers. Find

m +n

.
Note: they may collaborate on problems.
Proposed by Aditya Rao

Problem Statement