i need step by step answers.
Three tankers contain 403 litres, 434 litres and 465 litres of diesel respectively. Find the maximum capacity of a container that can measure the diesel of the three containers exact number of time
Three boys step off together from the same spot. Their steps measure 63 cm, 70 cm and 77 cm respectively. What is the minimum distance each should cover so that all can cover the distance in complete steps?
In a morning walk, three persons step off together. Their steps measure 80 cm, 85 cm and 90 cm respectively. What is the minimum distance each should walk so that all can cover the same distance in complete steps?
Answers & Comments
Answer:
b- let name of boy1 be x
let name of boy2 be y
let name of boy3 be z
Given
distance of steps covered by x is 63
distance of steps covered by y is 70
distance of steps covered by z is 77
solution :
distance x should cover to match steps with y
= 70 - 63=7cm
distance z should cover to match steps with y
=77-70=7cm
therefore x and z should cover 7 cm so that they can cover same distance
Answer:
31, 6930, 12240
Step-by-step explanation:
Here I observe that 31 is the highest common factor of 403, 434 and 465. Therefore, the maximum capacity of the required container that can measure the diesel of the three containers an exact number of times will be 31 litres.
To find the minimum distance each should cover so that all can cover the distance in complete steps, we have to find the LCM of 63, 70, 77. Hence, the minimum distance each should cover so that all can cover the distance in complete steps is 6930 cm.
Hence minimum 12240 cm distance each should walk so that all can cover the same distance in complete steps. Q. In a morning walk, three friends step off together. Their steps measure 80 cm, 85 cm and 90 cm respectively.