There are two parallel streets each directed north to south. A person in the fir

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Question
There are two parallel streets each directed north to south. A person in the first street travelling from south to north wishes to take the second street which is on his right side. At some place, he makes a 150 deg turn to the right and he travels for 15 minutes at the speed of 20 km/hr. After that he takes a left turn of 60 deg and travels for 20 minutes at the speed of 30 km/hr in order to meet the second street. What is the distance between the two streets?
Options
A. 7.5 km
B. 10.5 km
C. 12.5 km
D. 15 km

Correct Answer

12.5 km

Explanation

Initially the person is travelling from south to north i.e. D to A

He takes 150 deg right turn and moves AB distance and then he takes 60 deg left turn travels BC

AB = 20km/hr * 15/60 hr = 5km

BC = 30 * 20/60 = 10 km

We know that distance between both the streets is DC = DB + BC

DB = AB cos 60o= 5. � =2.5 km

So the distance between streets = 12.5 km

Height and Distance problems

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Options
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Options
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Options
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Options
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Options
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Options
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