fraction chapter rizwan lives 7 integer 3/4 km away from his workplace. in the morning, he covers 2 integer 1/2 km of this distance on foot and the remaining by a local bus . how much distance is covered by him in the local bus
Answers
Answer:
Complete step by step answer:
We are given that Rizwaan lives at 734
km away from his workshop
Let us assume that the distance between Rizwaan living place and his workshop as
⇒D=734km
We know that the conversion of mixed fraction to proper fraction is done as
⇒abc=(c×a)+bc
By using this conversion to above equation we get
⇒D=(7×4)+34km⇒D=314km
We are given that Rizwaan covers 212
km by foot.
Let us assume that the distance covered by him by foot as
⇒d=212km
Now, by converting the above mixed fraction to proper fraction we get
⇒d=(2×2)+12km⇒d=52km
Now, let us assume that the distance covered by Rizwaan by local bus as ′x′
We know that adding all the individual distances of traveling in different ways equal to total distance between two points.
Now, by using the above condition then we get
⇒D=d+x⇒x=D−d
Now, by substituting the required values in above equation and by subtracting by using the LCM we get
⇒x=314−52⇒x=31−104⇒x=214km
Now, by converting the above proper fraction to mixed fraction we get
⇒x=514km
Therefore the distance covered by Rizwaan by local train is 514km