Answer
Verified
376.2k+ views
Hint: First we have to define what the terms we need to solve the problem are. Since km means kilometer of the train covered distance. Now we are going to convert hour into minutes is one hour equals sixty minutes that is $1hour = 60\min $, we will convert $3$ hours $20$ minutes into the total minutes that is $3h = 180\min $ plus the twenty minutes and hence $3$ hours $20$ minutes $ = 200\min $
Complete step-by-step solution:
Since that train is traveled the total distance of $320km$(kilometer) and in the time of
$3$ hours $20$ minutes $ = 200\min $ so now we will need to find the train distance of $90km$ in what time. Let the train cover $320km$ in $200\min $ that means by division formula we can able to convert one kilometer equals the two hundred minutes; which is $1km = \dfrac{{200}}{{320}}\min $ so the train is traveled in one kilometer is $\dfrac{{200}}{{320}} = 0.625$minutes and hence we need to find now the train covered $90km$distance.
Thus , for $90km$$ = (0.625 \times 90)\min $$ = 56.25\min $ which is the train traveled ninety kilometers.
Hence option $B)56.25$minute is correct. If option $C)36.25$minute is correct then the train will travel below $320km$ in $3$hours $20$minutes. If the option $A)76.25$ minute is correct then the train will travel above $320km$in $3$hours $20$minutes. So hence options like A and C are wrong.
Note: We are also able to solve this problem without converting the hours into minutes, by just dividing the given time $3$hours $20$minutes by $320km$ and then multiplying with $90km$ to get the same result as above. Since none of these means; no options are correct but, in the problem, we get the correct option B; and hence $D)$ none of these is also wrong.
Complete step-by-step solution:
Since that train is traveled the total distance of $320km$(kilometer) and in the time of
$3$ hours $20$ minutes $ = 200\min $ so now we will need to find the train distance of $90km$ in what time. Let the train cover $320km$ in $200\min $ that means by division formula we can able to convert one kilometer equals the two hundred minutes; which is $1km = \dfrac{{200}}{{320}}\min $ so the train is traveled in one kilometer is $\dfrac{{200}}{{320}} = 0.625$minutes and hence we need to find now the train covered $90km$distance.
Thus , for $90km$$ = (0.625 \times 90)\min $$ = 56.25\min $ which is the train traveled ninety kilometers.
Hence option $B)56.25$minute is correct. If option $C)36.25$minute is correct then the train will travel below $320km$ in $3$hours $20$minutes. If the option $A)76.25$ minute is correct then the train will travel above $320km$in $3$hours $20$minutes. So hence options like A and C are wrong.
Note: We are also able to solve this problem without converting the hours into minutes, by just dividing the given time $3$hours $20$minutes by $320km$ and then multiplying with $90km$ to get the same result as above. Since none of these means; no options are correct but, in the problem, we get the correct option B; and hence $D)$ none of these is also wrong.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Which are the Top 10 Largest Countries of the World?
Give 10 examples for herbs , shrubs , climbers , creepers
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Change the following sentences into negative and interrogative class 10 english CBSE
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE