The monk and the mountain A monk set out from a monasteryin the valley at dawn. He walked all day up a winding path, stop-ping for lunch and taking a nap along the way. At dusk, he arrivedat a temple on the mountaintop. The next day the monk made thereturn walk to the valley, leaving the temple at dawn, walkingthe same path for the entire day, and arriving at the monastery inthe evening. Must there be one point along the path that the monkoccupied at the same time of day on both the ascent and descent?(Hint: The question can be answered without the IntermediateValue Theorem.)
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
The monk and the mountain A monk set out from a monastery
in the valley at dawn. He walked all day up a winding path, stop-
ping for lunch and taking a nap along the way. At dusk, he arrived
at a temple on the mountaintop. The next day the monk made the
return walk to the valley, leaving the temple at dawn, walking
the same path for the entire day, and arriving at the monastery in
the evening. Must there be one point along the path that the monk
occupied at the same time of day on both the ascent and descent?
(Hint: The question can be answered without the Intermediate
Value Theorem.)
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