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RD Sharma Solutions Class 6 Mathematics Solutions for Ratio, Proportion and Unitary Method Exercise 9.4 in Chapter 9 - Ratio, Proportion and Unitary Method

Question 6 Ratio, Proportion and Unitary Method Exercise 9.4

10 boys can dig a pitch in 12 hours. How long will 8 boys take to do it?

Answer:

It is given that

1 boys can dig a pitch in 12 hours

We know that the time taken by one boy = 10 (12) = 120 hours

So the time taken by 8 boys to dig the pitch = 120/8 = 15 hours

Hence, 8 boys will take 15 hours to dig the pitch.

Video transcript
hello students welcome to lido homework my name is niren nirola and in today's q a video we are going to solve a word problem so let us read the question together 10 boys can dig a pitch in 12 hours how long will eight boys take to do it so let's see what is given to us so it has been told that 10 boys can take a pitch in 12 hours right 12 hours so now we'll first see how much time will one boy take to take that same pitch so it is obvious that he will take more time right now assuming that all the boys they are doing equal amount of work they are putting equal amount of effort so basically if suppose this whole pitch has to be dug by one person then the amount of time should be multiplied so we multiplied by 10 right therefore one boy can take that ph can take that ph in 10 into 12 hours right because the work of all that 10 percent is done by one person so it's going to take 10 times more time right so 10 into 12 will give me 120 rs now the question is asking me to find how long will eight boys right how long will eight boys take to do it so in order to find this answer let us write this hands the time taken hence the time taken by 8 boys right by eight boys to dig the same pitch to take the same pitch is given by 120 divided by 8 now why am i dividing with by 8 because i know that if suppose there are 8 person right if suppose there are 8 percent then the amount or the time taken by them will be less than compared to the time taken by one boy right because this work it now has been divided into eight percent so the time taken will also be divided by that factor right so it will be less by that factor so this will give me as 120 divided by 8. now in order to find this answer i have to just i'll try to convert this into simple fraction form or i can directly divide that also it's your call so for now let's directly divide that and see how much we get so eight one zero is eight right four in hand four zero eight five zero is 40 so it is saying that it takes 15 hours right hence what we can conclude the time taken by eight boys to finish this work or to finish digging the page is 15 hours yes so since this is a word problem i have to answer it in terms of statement so with this we have finished today's q a video if there is any doubt please post it in the comment below if you like the video and for such videos do subscribe to me bye guys take care
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