Question

There are two parallel streets each directed north to south a person in the first street travelling from north to south wishes to take the second street which is on right side at some place he makes a 150 turn to write and he travels for 15 minutes at the speed of 20 km per hour after he takes a left of 60 degree and travels for 20 minutes at the speed of 30 km per hour in order to meet the second street what is the distance between the two states

Answer 1

Answer:

12.5 km

Step-by-step explanation:

Speed 20 km/hr for 15 minutes (1/4) hr

Angle = 150°

20 Cos150°  = Direction towards South

= 20 * (-√3/2) Direction towards South

= 10√3 km/hr towards North

20Sin150 = Direction towards West  ( left side or towards other road)

=> 20 * 1/2 = 10 km/hr  ( towards Road)

Distance toward road = 10 * 1/4  = 2.5 km

Then he Take 60° Left at speed of 30 km/Hr for time = 20 mins (1/3 hr)

=> 150 - 60 = 90° to Original N-S

30 Cos90°  =  0   Direction towards South

30Sin90° =  30 km/hr Direction towards West  ( left side or towards other road)

Distance towards road = 30 * 1/3 = 10 km

Total Distance toward road = 10 + 2.5 = 12.5 km

Parallel Distance between two streets = 12.5 km