Problem: A teacher has 3 hours to grade all the papers submitted by by the 35 students in her class. She pets through the first 5 in 30 minutes. How much faster does she have to work to grade the remaining papers in the allotted time?
View all: SONALI & JANATA BANK LTD (SO) IT WRITTEN QUESTION (MATH) SOLVE | 2018
Correct Answer: 20%
Explanation:
Given, total allotted time = 3 hours = 3×60 = 180 minutes
so, Remaining time = 180-30 = 150 minutes
so, Remaining papers = 35-5 = 30 minutes
per hour speed of grading first 5 papers = $\frac{60\times 5}{30}$ = 10 papers
& to complete the work in lime. required per hour speed of grading 30 papers = $\frac{30\times 60}{150}$ = 12
So. she should enhance the work Speed by = $\frac{12-10}{10}$x100 = 20%