in her kayak bunny can travel 70 miles downstream with the current in 5 hours. the return trip against the current takes 7 hours. find the speed of the kayak in Stillwater and the speed of the current​

9514 1404 393

kayak: 12 mphcurrent: 2 mph

Step-by-step explanation:

Bunny's rate downstream is ...

  (70 mi)/(5 h) = 14 mi/h = k + c

Bunny's rate upstream is ...

  (70 mi)/(7 h) = 10 mi/h = k -c

The kayak speed is the average of these:

  (14 mi/h +10 mi/h)/2 = ((k +c) +(k -c))/2

  (24 mi/h)/2 = 2k/2

  12 mi/h = k

Then the current speed is ...

  c = k -10 = 12 -10 = 2 . . . . mi/h

The still-water speed of the kayak is 12 mi/h; the speed of the current is 2 mi/h.

Additional comment

World-class kayak paddlers will not maintain a speed more than 8 mi/h for that distance and/or time (140 miles in 12 hours). Bunny is exceptional.

$79500

step-by-step explanation:

75000÷100=750750×106=79500

Planet earth has a mass of 5.9726x10²⁴ kg.then: 5.9726x10²⁴ kg=100% of the total earth mass.if the water´s mass=5x10-4 % of the total mass, we can solve this problem by the rule of three.5.9726x10²⁴ %*10⁻⁴ %x=(5.9726x10²³ kg)(5*10⁻⁴  %) / 100 %=2.9863x10¹⁹ kganswer:   the mass of the planet´s water would be   2.9863 x 10¹⁹ kg.