Question

Un alpinist parcurge un traseu montan in patru zile .in prima zi parcurge jumatate din traseu plus 4km,in a doua zi parcurge jumatate din rest plus 4 km ,in ă treia zi parcurge jumatate din rest plus patru km iar in a patra zi parcurge ultimii patru km.calculeaza lungimea traseului parcurs de alpinism in cele 4 zile?

Answer 1

x=traseul
x/2+4=ziua1
x-(x/2+4)=x/2-4=rest
(x/2-4)×1/2+4=x/4-2+4=x/4+2=ziua2
x/2-4-(x/4+2)=x/2-4-x/4-2=x/4-6=rest
(x/4-6)×1/2+4=x/8-3+4=x/8+1=ziua 3
x/2+4+x/4+2+x/8+1+4=x
x/2+x/4+x/8+11=x
4x+2x+x+88=8x
x=88 km