Your younger sister has a toy that swings back and forth when it is pushed. Your sister pushes the toy and lets it swing freely.
On the first swing, the toy travels 45 inches. On each successive swing, the toy travels 50% of the distance of the previous swing. What is the total distance the toy swings?
2 answers:
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Answer:
Distance between B and C =
Step-by-step explanation:
Let the time taken to reach from station A to B be x hr
Let the time taken to reach from station B to C be y hr
Given total time from station A to C be 6 hr
∴ x + y = 6
⇒ y = 6 - x → (1)
Also total distance given is 285 miles
As
∴ distance travelled between station A and B
=
distance travelled between station B and station C
=
So, 40x + 55y = 285
⇒ 40x + 55(6 -x) = 285 (From 1)
=> 40x + 330 - 55x = 285
=> -15x = 285 - 330
=> -15x = -45 ⇒ x=3
gives y = 6-3 = 3 hours
Distance between B and C =