甲、乙兩個運(yùn)輸隊(duì)要向地震災(zāi)區(qū)運(yùn)送一批救災(zāi)物資,甲隊(duì)每天能運(yùn)送64.4噸,比乙隊(duì)每天多運(yùn)75%;如果甲、乙兩隊(duì)同時運(yùn)送,當(dāng)甲隊(duì)運(yùn)了全部救災(zāi)物資的1/2時,就比乙隊(duì)多運(yùn)了138噸.這批救災(zāi)物資一共有多少噸?
乙隊(duì)每天運(yùn)的噸數(shù):64.4÷(1+75%)=36.8(噸),
甲隊(duì)每天比乙隊(duì)多運(yùn)的噸數(shù):64.4-36.8=27.6(噸),
甲隊(duì)比乙隊(duì)多運(yùn)138噸需要的天數(shù):138÷27.6=5(天),
甲隊(duì)5天運(yùn)的噸數(shù):64.4×5=322(噸),
這批救災(zāi)物資的總噸數(shù):322÷
=644(噸),
答:這批救災(zāi)物資一共有644噸.