A swimmer-s best time in an event is 53-87 seconds- On average- his best time decreases by 0-28 seconds each of the next -ve times he swims the event- Does he accomplish his goal of swimming the event in less than 52-5 seconds-

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Standard XII

Mathematics

Combination

A swimmer’s b...

Question

A swimmer’s best time in an event is $53.87 s e c o n d s$ . On average, his best time decreases by $0.28 s e c o n d s$ each of the next ﬁve times he swims the event. Does he accomplish his goal of swimming the event in less than $52.5 s e c o n d s$ ?

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Solution

Step 1: Given Conditions
Swimmer’s best time in an event is $53.87 s e c o n d s$
His best time decreases by $0.28 s e c o n d$ each of the next five times he swims.
Step 2:Total decrease in time
Total decrease in time $= 0.28 \times 5 = 1.40 s e c o n d s$
So, after decreasing by $0.28 s e c o n d$ each of the next five times, new time will be
$= 53.87 - 1.40 s e c = 52.47 s e c o n d s$
Hence, As the swimmer has reduced his time to complete an event to $52.47 s e c o n d s$ .He will be able to accomplish his goal of swimming the event in less than $52.5 s e c o n d s$

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A swimmer’s best time in an event is 53.87seconds. On average, his best time decreases by 0.28seconds each of the next ﬁve times he swims the event. Does he accomplish his goal of swimming the event in less than 52.5seconds?

A swimmer’s best time in an event is $53.87 s e c o n d s$ . On average, his best time decreases by $0.28 s e c o n d s$ each of the next ﬁve times he swims the event. Does he accomplish his goal of swimming the event in less than $52.5 s e c o n d s$ ?