Question

two boats leave a ramp traveling in opposite directions. The second boat is 10 miles per hour faster than the first. After 3 hours they are 150 miles apart. Find the speeds of the boats.

Answer 1

220 mph ; 230 mph

Explanation:

Given that :

Speed of First boat = x

Speed of Second boat = y

y = (10 + x) mph

Distance apart after 3 hours = 150 miles

Speed of the boats :

Speed / time = distance

First boat distance = x / 3

Second boat distance = (10+x) /3

x/3 + (10+x)/3 = 150

x + 10 + x = 150 * 3

2x + 10 = 450

2x = 450 - 10

2x = 440

x = 220 mph

Speed of second boat = 220 + 10 = 230 mph