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Math Expert V
Joined: 02 Sep 2009
Posts: 58369
The maximum recommended pulse rate R, when exercising, for a  [#permalink]

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Difficulty:   5% (low)

Question Stats: 89% (01:03) correct 11% (01:14) wrong based on 1093 sessions

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

The maximum recommended pulse rate R, when exercising, for a person who is x years of age is given by the equation R= 176- 0.8x. What is the age, in years, of a person whose maximum recommended pulse rate when exercising is 140 ?

(A) 40
(B) 45
(C) 50
(D) 55
(E) 60

Problem Solving
Question: 1
Category: Algebra Substitution; Operations with rational numbers
Page: 62
Difficulty: 500

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Math Expert V
Joined: 02 Sep 2009
Posts: 58369
Re: The maximum recommended pulse rate R, when exercising, for a  [#permalink]

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SOLUTION:

The maximum recommended pulse rate R, when exercising, for a person who is x years of age is given by the equation R= 176 - 0.8x. What is the age, in years, of a person whose maximum recommended pulse rate when exercising is 140 ?
(A) 40
(B) 45
(C) 50
(D) 55
(E) 60

Substitute 140 for R: $$140 = 176 - 0.8x$$ --> $$\frac{4}{5}x=36$$ --> $$x=45$$.

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Senior Manager  B
Joined: 17 Sep 2013
Posts: 322
Concentration: Strategy, General Management
GMAT 1: 730 Q51 V38 WE: Analyst (Consulting)
Re: The maximum recommended pulse rate R, when exercising, for a  [#permalink]

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What are we testing here..my multiplication skills?.. _________________
Appreciate the efforts...KUDOS for all
Don't let an extra chromosome get you down.. Intern  Joined: 23 Sep 2012
Posts: 20
Concentration: Technology, Operations
GMAT 1: 740 Q50 V40 GPA: 4
WE: Information Technology (Computer Software)
Re: The maximum recommended pulse rate R, when exercising, for a  [#permalink]

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45...is this really a 600 level problem?
Manager  Status: GMATting
Joined: 21 Mar 2011
Posts: 105
Concentration: Strategy, Technology
GMAT 1: 590 Q45 V27 Re: The maximum recommended pulse rate R, when exercising, for a  [#permalink]

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2
R=176-0.8X; R-> Maximum recommended pulse rate and X-> Age

Substitute directly and solve:
0.8X=176-140 = 36
X=36/0.8
=> X = 45
(B) is the answer
Manager  Joined: 04 Oct 2013
Posts: 150
Location: India
GMAT Date: 05-23-2015
GPA: 3.45
Re: The maximum recommended pulse rate R, when exercising, for a  [#permalink]

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2
nutshell wrote:
R=176-0.8X; R-> Maximum recommended pulse rate and X-> Age

Substitute directly and solve:
0.8X=176-140 = 36
X=36/0.8
=> X = 45
(B) is the answer

Method I:

Given, R = 176 - 0.8x
Thus, equating R as 140 and solving we get

140 = 176 - 0.8x
or, 0.8x = 176 - 140
or, x = 360/8
or, x = 45

Method II:

In every 10 years, pulse rate, R decreases by 8.
Hence, R decreases by 36 (difference between 176 and 140), when x equals 10 times (36/8) or x= 45.

Current Student B
Joined: 11 Feb 2017
Posts: 7
Location: India
GMAT 1: 710 Q49 V38 GPA: 3.71
Re: The maximum recommended pulse rate R, when exercising, for a  [#permalink]

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The question is a straightforward Formulas problem.
We are initially given the formula i.e. the equation for Maximum Pulse Rate (R) in terms of age x. Further, we are supposed to find out the age for someone whose maximum pulse rate is 140.
So now, for the equation R=176 - 0.8x, we substitute R=140 and solve for x.
Hence, 140=176-0.8x
Therefore, 0.8x=36
Therefore, x=45.
Current Student B
Joined: 09 Nov 2016
Posts: 10
GMAT 1: 710 Q47 V40 Re: The maximum recommended pulse rate R, when exercising, for a  [#permalink]

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Plug in the given rate:

1) 140 = 176 - .8x

Simplify (move the negative value to the left):

2) .8x = (176-140)

To make calculations simpler, get rid of the decimal:

3) 8x = 360

Solve for x:

x = 45
Target Test Prep Representative G
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Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2817
Re: The maximum recommended pulse rate R, when exercising, for a  [#permalink]

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Bunuel wrote:

The maximum recommended pulse rate R, when exercising, for a person who is x years of age is given by the equation R= 176- 0.8x. What is the age, in years, of a person whose maximum recommended pulse rate when exercising is 140 ?

(A) 40
(B) 45
(C) 50
(D) 55
(E) 60

We are given that the maximum recommended pulse rate R, when exercising, for a person who is x years of age is given by the equation R = 176 - 0.8x.

We need to determine the age of a person whose maximum recommended pulse rate when exercising is 140.

140 = 176 - 0.8x

0.8x = 36

x = 36/0.8 = 45

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Intern  B
Joined: 09 Jul 2018
Posts: 12
Re: The maximum recommended pulse rate R, when exercising, for a  [#permalink]

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140 = 176 - 0.8x ----->0.8x = (176-140)------->8x = 360(multiply by 10 on each side) ------> x=45. Re: The maximum recommended pulse rate R, when exercising, for a   [#permalink] 22 Sep 2019, 17:38
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