Question
At a hot air balloon festival. Mohamed's balloon is at an altitude of 40m and rises 10m/min Dana's balloon is at an altitude of 165m and descends 15m/min.
a) In how many minutes will both balloons be at the same altitude?
Hint:
given, the initial heights and rate of increment (or)decrement of balloon .
The correct answer is: In 5 mins both balloons will be at same altitude .
a)Let the time be t at which both balloons have the same height .
Find the respective heights for each balloon and equate them to find t.
b) now find height of any balloon at t (as both will be at same height at t)
Ans :- a)In 5 mins both balloons will be at the same altitude
b) The altitude will be 90m.
Explanation :-
Let the time be t min at which both balloons have the same height .
a)
Step 1:-find the respective heights for both balloon
Mohamed’s balloon is at an altitude of 40 m and rises 10m/min.
Height of Mohamed’s balloon at time t = 40 m + 10m/min (t min) = 40 + 10t
Dana’s balloon is at an altitude of 165m and descends 15m/min.
Height of Dana’s balloon at time t = 165 m - 15m/min (t min) = 165 -15t
Step 2:- find t by equating both height
At time t both balloons have same height
so, 
∴In 5 mins both balloons will be at same altitude .
The speed unit is the meter per minute, denoted by the symbol [m/min]. For example, 1 meter per minute is 1 m / 60 s. The rate at which the body moves one meter in one minute. A meter per minute is a smaller unit than a meter per second.
On the clock, there are three hands hours, the minute, and the second hand. The shortest hand of the clock represents the hour, the middle hand represents the minute, and the most extended hand represents the second. Therefore, minutes can be calculated by multiplying the number it points to by five.
The meter is the standard unit of length measurement (SI) in the International System of Units. It has the symbol "m" and is one of the SI system's seven base units.
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b.) The age before n years will be (x-n) if you assume the present age to be x.
c.) If the age is expressed as a ratio, p:q, the age will be rounded to the nearest multiple of q and p.
d.) Given that you are assuming you are currently x years old, n times that number equals (xn) years.
E.g.:The father is three times older than Ronit. So he would be 2.5 times Ronit's age after '8' years. How many more times would he be Ronit's age after another '8' years?
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Tips to help you answer the questions on the problems of age: a.) The age after n years will be (x+n) if you assume that the current age is x.
b.) The age before n years will be (x-n) if you assume the present age to be x.
c.) If the age is expressed as a ratio, p:q, the age will be rounded to the nearest multiple of q and p.
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A. 2 times
B. 2 1/2 times
C. 2 3/4 times
D. 3 times
