A motorboat can maintain a constant speed of 16 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 20 minutes and the return trip takes 15 minutes. What is the speed of the current?
2 answers
at what speed does current is in relative to water
let spped of current be X, when the boat goes upstream, the actual speed of boat= speed of boat-speed of current;when the boat goes downstream, the speed =speed of boat+speed of current
distance=speed x time
upstream: (16-X)x 1/3
downstream:(16+X)x1/4
since the total distance of the trip doesnt change,
(16-X)x 1/3=(16+X)x1/4
solve for x,
ps:the speed of boat is 16miles/hour,
dont forget to convert minutes into hour
distance=speed x time
upstream: (16-X)x 1/3
downstream:(16+X)x1/4
since the total distance of the trip doesnt change,
(16-X)x 1/3=(16+X)x1/4
solve for x,
ps:the speed of boat is 16miles/hour,
dont forget to convert minutes into hour
1 answer