60. There is a rectangular park which has
12m and 5m as its length and breadth. At its
one point there is a ambulance and the
hospital is at its opposite end forming a
diagonal in the park. If the speed of the
ambulance is Im/min so what is minimum
time required for it to reach the hospital?
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Answer:
Minimum time required is 1minutes
Explanation:
Given that,
A rectangular park of length and width 12m and 5m respectively.
Here, at one point an ambulance is there and there is an hospital at its opposite end forming a diagonal of the park.
Calculating the diagonal by pythagoras theorem :-
⇒ (diagonal)² = (length)² + (width)²
⇒ (diagonal)² = (12)² + (5)²
⇒ (diagonal)² = 144 + 25
⇒ (diagonal)² = 169
⇒ diagonal = √169
⇒ diagonal = 13m
Therefore the ambulance needs to cover 13m.
Speed of the ambulance given is 1m/min
Time taken by the ambulance to reach the hospital is
= Distance/Speed
= 13/1
= 13
Time required is 13minutes
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