What is the sum of the first 100 terms of the arithmetic sequence 2, 7, 12, 17?
1 answer:
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Answer:
Total time taken by walking, running and cycling = 22 minutes.
Step-by-step explanation:
Let the speed of walking = x
As given,
The distance of walking = 1
Now,
As
⇒ Time traveled by walking =
Now,
Given that - He runs twice as fast as he walks
⇒Speed of running = 2x
Also given distance traveled by running = 1
Time traveled by running =
Now,
Given that - he cycles one and a half times as fast as he runs.
⇒Speed of cycling = (2x) = 3x
Also given distance traveled by cycling = 1
Time traveled by cycling =
Now,
Total time traveled = Time traveled by walking + running + cycling
= +
+
=
If he cycled the three mile , then total time taken = +
+
= x
Given,
He takes ten minutes longer than he would do if he cycled the three miles
⇒x + 10 =
⇒
⇒
⇒x = = 12
⇒x = 12
∴ we get
Total time traveled by walking + running + cycling = min