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The cost of a phone call is x cents/min for the first 5 minutes

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The cost of a phone call is x cents/min for the first 5 minutes  [#permalink]

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New post 14 Nov 2017, 12:49
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Question Stats:

54% (02:29) correct 46% (02:16) wrong based on 41 sessions

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The cost of a phone call is x cents/min for the first 5 minutes and x/2 cents for every additional minute.If Jack paid $1 for a phone call,for how long did he talk?

1. If he had spoken for another minute,he would have paid 10 cents more
2.If he had spoken for one minute fewer,he would have paid 20 cents fewer.

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The cost of a phone call is x cents/min for the first 5 minutes  [#permalink]

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New post 14 Nov 2017, 13:31
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1. If Jack had spoken for another minute, he would have paid 10 cents more. This means that he would have spend 10 cents for every additional minute and 20 cents/minute for the initial 5 mins.

Since Jack paid $1 for the phone call, the time spent would be 5 minutes in all (Sufficient)

2. If Jack had spoken for a minute lesser, he would have paid 20 cents fewer. This can happen when he spends 20 cents/minute for the initial 5 mins and one minute lesser will save him 20 cents.

Since Jack paid $1 for the phone call, the time spent on the call would be 5 mins (Sufficient)(Option D)
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Re: The cost of a phone call is x cents/min for the first 5 minutes  [#permalink]

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New post 14 Nov 2017, 16:06
Phone call is billed as: x+x+x+x+x+ x/2 + x/2 + ... = 100cents
1. If he had spoken for another minute, he would have paid 10 cents more
If he talked for 1min, x=100. So, 2nd min will be charged at 100, not 10.
If he talked for 2min, 2x=100 => x=50. So, 3rd min will be charged at 50, not 10.
If he talked for 4min, 4x=100 => x=25. So, 5th min will be charged at 25, not 10.
If he talked for 5min, 5x=100 => x=20. So, 6th min will be charged at 20/2 = 10.
Sufficient.

2. If he had spoken for one minute fewer, he would have paid 20 cents fewer.
Working as above, if he talked for 5mins, at 4mins he paid 20 cents fewer.
Sufficient.

Ans: D
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Re: The cost of a phone call is x cents/min for the first 5 minutes &nbs [#permalink] 14 Nov 2017, 16:06
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