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A certain telephone company offers two plans, A and B. Under [#permalink]

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30 Jan 2012, 01:19

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A certain telephone company offers two plans, A and B. Under plan A, the company charges a total of $0.60 for the first 7 minutes of each call and $0.06 per minute thereafter. Under plan B, the company charges $0.08 per minute of each call. What is the duration of a call, in minutes, for which the company charges the same amount under plan A and under plan B?

A certain telephone company offers two plans, A and B. Under plan A, the company charges a total of $0.60 for the first 7 minutes of each call and $0.06 per minute thereafter. Under plan B, the company charges $0.08 per minute of each call. What is the duration of a call, in minutes, for which the company charges the same amount under plan A and under plan B?

A. 2 B. 9 C. 15 D. 21 E. 30

Let the duration, in minutes, for which the company charges the same under plan A and plan B be t minutes.

Then under plan A the cost would be $0.6+0.06(t-7) and under plan B the cost would be $0.08t. We want these amount to be equal: 0.6+0.06(t-7)=0.08t --> 60+6(t-7)=8t --> t=9.

Re: A certain telephone company offers two plans, A and B. Under [#permalink]

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30 Jan 2012, 02:28

First 7 Minutes cost 0,6 cent regardless how long you pick up the phone (for Plan A). For every minute after it costs 0.06 cent For each minute you call with Plan B it costs 0,08$

When is Plan A = Plan B A: 0,6 + 0,06*(t - 7) B: 0,08*t

Re: A certain telephone company offers two plans, A and B. Under [#permalink]

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01 Sep 2015, 04:07

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