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A man starts climbing a 11 m high wall at 5 pm. In each minute he climbs up 1 m but slips down 50 cm. At what time will he climb the wall?
Answer & Solution
Correct Answer:
Option
B
1st Method:
Man climbs 1m and slips down 50 cm (0.5m) in one minute i.e. he climbs (1 - 0.5 = 0.5 m) in one minute. But in the last minute he will be climbing 1m as he gets on the top so no slip.
Time taken to climb 11 meter = $$ {\frac{{10}}{{0.5}} + 1} $$ = 21 minutes.
He climbs the wall at 5:21 pm
2nd Method (short-cut):
$$ = \frac{{{\text{hight}}\,\,{\text{of}}\,\,{\text{pole}} - {\text{slipped}}\,\,{\text{distance}}}}{{{\text{climbed}}\,\,{\text{distance}} - {\text{slipped}}\,\,{\text{distance}}}}$$
$$\eqalign{ & = {\frac{{x - z}}{{y - z}}} \times t \cr & = {\frac{{11 - 0.5}}{{1 - 0.5}}} \times 1 \cr & = 21\,\,{\text{minutes}} \cr} $$
$$\eqalign{ & = {\frac{{x - z}}{{y - z}}} \times t \cr & = {\frac{{11 - 0.5}}{{1 - 0.5}}} \times 1 \cr & = 21\,\,{\text{minutes}} \cr} $$
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