Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

Two typists undertake to do a job. The second typist begin working one hour after the first. Three hours after the first typist has begun working, there is still (9/20) of the work to be done. When the assignment is completed, it turns out that each typist has done half the work. How many hours would it take each one to do the whole job individually?
Asked by rushabh123 | 31 Jan, 2019, 09:33: AM
answered-by-expert Expert Answer

Let the first typist takes X hours and the second Y hours to complete the job.

According to the question,

begin mathsize 16px style 3 over straight X plus 2 over straight Y equals 1 minus 9 over 20 end style

begin mathsize 16px style 3 over straight X plus 2 over straight Y equals 11 over 20 space end style ........(i)

When the assignment was completed, it turned out that each typist had done half the work. Hence, the first spent X/2 hr, and the second, Y/2 hr.

And since the first had begun one hour before the second,

begin mathsize 16px style straight X over 2 minus straight Y over 2 equals 1 end style  .......(ii)

solving (i) and (ii) we get X = 10 hr and Y = 8 hr

Answered by Sneha shidid | 31 Jan, 2019, 10:16: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 10 - Maths
One says, "Give me a hundred, friend! I shall then become twice as rich as you." The other replies, "If you give me ten, I shall be six times as rich as you." Tell me what is the amount of their (respective) capital?
Asked by prassanna.j | 10 Sep, 2023, 08:42: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
Five years ago Nuri was thrice as old as Sonu. Ten years later Nuri will be twice as old as Sonu. How old are Nuri and Sonu?
Asked by choithanimahak | 05 Aug, 2022, 09:06: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
5x -4y + 8 = 0 7x +6y -9 =0
Asked by anuragchoudhary812 | 19 Jul, 2022, 07:00: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
find the value of a and b
question image
Asked by patelnaimesh842004 | 17 Jul, 2022, 07:43: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
A and B, each has a certain amount (in ₹). If A gives ₹40 to B, both will have equal amounts. If B gives ₹110 to A, A will have 4 times the amount left with B. What is the initial amount with B?
Asked by maitrymody2004 | 12 Jun, 2022, 11:52: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
3x/2-5y/3=-2 x/3+y/2=13/6 by elimination method
Asked by tapasyachitore07 | 31 Mar, 2022, 09:30: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
2ax+3by=(a+2b) 3ax+2by=2(a+b)
question image
Asked by ananyak4213277 | 17 Sep, 2021, 07:29: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
how to solve it
question image
Asked by sanshruti06 | 31 Jul, 2021, 07:43: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
If the linear equation in two variables 2x –y = 2, 3y –4x = -2and px–3y = 2are concurrent, then find the value of p
Asked by jarvickanishk619 | 28 Jul, 2021, 12:54: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
If ܽa + b = 35 and a − b = 13, where a > b, then find the value of a and ܾb.
Asked by hethirpatel | 11 Jul, 2021, 08:57: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×