Two boats on opposite banks of a river start moving towards each other. They first pass each other 1400 meters from one bank. They each continue to the opposite bank, immediately turn around and start back to the other bank. When they pass each other a second time, they are 600 meters from the other bank. We assume that each boat travels at a constant speed all along the journey. Find the width of the river?

Sagot :

Answer:

3600meters

Step-by-step explanation:

S1*t1 = 1400 : S1 speed of boat 1, t1 : time to do 1400 meters(boat 1)

1400 + S2*t1 = X : S2 speed of boat 2

S1*t2 = X + 600 : t2 time to do X + 600 (boat 2)

S2*t2 = 2X - 600

S1 = 1400/t1

S2 = (X-1400)/t1

T = t2/t1 : definition

substitute S1, S2 and t2/t1 using the above expressions in equations 3 and 4 to obtain

1400*T = X + 600

X*T - 1400*T = 2X - 600 : 2 equations 2 unknowns

Eliminate T and solve for X to obtain X = 3600 meters.

Answer:

3600meters

Step-by-step explanation: