In this task, you need to answer the given multiple-choice question on the physics. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Input: Consider Input: Problem: a , b , k start from the same place and travel in the same direction at speeds of 30 km / hr , 40 km / hr , 80 km / hr respectively . b starts two hours after a . if b and k overtake a at the same instant , how many hours after a did k start ?
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6

Output: d

Input: Consider Input: Problem: the cyclist going at a constant rate of 20 miles per hour is passed by a motor - cyclist traveling in the same direction along the same path at 60 miles per hour . the motor - cyclist stops to wait for the cyclist 10 minutes after passing her , while the cyclist continues to travel at constant rate , how many minutes must the motor - cyclist wait until the cyclist catches up ?
Options: a ) 10 , b ) 20 , c ) 25 , d ) 30 , e ) 40

Output: b

Input: Consider Input: Problem: if the product of two numbers is 45276 and their h . c . f . is 22 , find their l . c . m .
Options: a ) 2574 , b ) 2500 , c ) 2100 , d ) 2058 , e ) none of these
Output: d