A boy spends 3/8 of his journey in playing games on his mobile.Then 4/5 of the remaining time talking to his sister.If he has 5 min to complete his journey,what is the total time of the journey

Respuesta :

Answer:

40 mins

Step-by-step explanation:

time spent talking to his sister = (1 - 3/8) x 4/5 =

5/8 x 4/5 = 1/2

total fraction of time spent playing games and talking to his sister :

[tex]\frac{3}{8} + \frac{1}{2}[/tex]

[tex]\frac{ 3 + 4}{8}[/tex] = [tex]\frac{7}{8}[/tex]

fraction of time remaining to complete the journey = 1 - 7/8 = 1/8

let t = total journey time

1/8 x t = 5

multiply both sides of the equation by 8

t = 5 x 8 = 40 minutes