A small aircraft flies at 224 km/h to its destination city then returns at 175 km/h. The round trips 5.7 hours. how far away was the city?

Answer 1

x/224 + x/175 = 5.7

x(1/224 + 1/175) = 5.7

x = 5.7/(1/224+1/175) = 5.7/((175+224)/224(175))

= 5.7(224(175)/399=560

x = 560 km

d=rt

distance = rate of speed times time traveled

x = 224(5.7-y) = -224y + 1276.8

x = 175(y) = 175y

-224y +1276.8 = 175y

224y +175y = 1276.8

3999y = 1276.8

y = 1276.8/399 = 3.2 hours flying 175 kph

5.7-3.2 =2.5 hours flying 224 kph

2.5(224) + 3.2(175)

= 560 + 560 = 1120 round trip

560 km one way= distance to the city