Question

An elevator descends into a mine shaft at the rate of $$6$$ m/min. If the descent starts from $$10$$ m above ground level, how long will it take to reach $$-350$$ m

A
40 minutes
B
50 minutes
C
60 minutes
D
70 minutes

Solution

The correct option is C $$60$$ minutesDistance descended is denoted by a negative integer,Initial height $$=+10 \ m$$Final Depth $$=-350 \ m$$Total distance to be descended by the elevator $$=(-350)-(+10)=-360 \ m$$Given, the time is taken by the elevator to descend $$-6 \ m=1 \ minute$$Thus, time taken by the elevator to descend $$-360\ m=\dfrac{(-360)}{(-6)}$$ ------- [from the formula : $$speed=\dfrac{distance}{time}$$]$$=60 \ minutes$$Mathematics

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