How many hours did they work?

Algebra Level 1

Nigel and Shawn are both electricians. Nigel charges $15 for a service call, plus $15 per hour. Shawn charges $35 for a service call, plus $10 per hour. If they work the same number of hours and are paid the same amount of money, how many hours did they work?

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4 hours 6 hours 5 hours 3 hours

Terry McTerrier by Terry McTerrier , 21, USA

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12 solutions

Partha Ghosh
Apr 2, 2014

15+15x=35+10x => 5x=20 => x=4 hr.. (ans)

29 Helpful 0 Interesting 0 Brilliant 0 Confused

Can you plz Explain theoretically??? Then you owe me respect.........................

Tanzir Hasan Mahim - 7 years, 2 months ago

gud one

Swarnim Sinha - 7 years, 2 months ago

nice

Atif Nouman - 7 years, 2 months ago

s thats rit

Rishyandhar Reddy Pannala - 7 years, 2 months ago

crct

Reshma Raj - 7 years, 2 months ago

smpl

Afsal Khan - 7 years, 2 months ago

15+15x=35+10x => 5x=20 => x=4 hr.

manuel johnson - 7 years, 2 months ago

15+15y=35+10y => 5y=20 => y=4 ans

Sibtain Ali - 7 years, 1 month ago

use the options

Krishna Ramesh - 7 years, 1 month ago

15x + 35x =15 +10

aditya ms - 7 years, 1 month ago

15 + 15x = 35 + 10x

aditya ms - 7 years, 1 month ago

45/15=3

Gulbaj Baig - 7 years, 2 months ago
Ashutosh Gupta
Apr 1, 2014

15+15x=35+10x therefore x = 4 ans.

5 Helpful 0 Interesting 0 Brilliant 0 Confused

15+15 hour=35+10 hour so hour=4.

Md Moksud Lalan - 7 years, 2 months ago

4

Hira Younis - 7 years, 2 months ago

4

Jonald Penpillo - 7 years, 2 months ago
Mena George
Mar 25, 2014

The answer is 4 hours : 1st get 15+15X4=75 2nd get 35+10X4=75 Then the answer is 4 hours

2 Helpful 0 Interesting 0 Brilliant 0 Confused

4 thaku

Ashok Kumar Baddepudi - 7 years, 2 months ago

that is what i did

Nouf Yahya - 7 years, 2 months ago
Samimanzoor Rind
Apr 3, 2014

let the working hour is x then according to the statement 15 + 15/x= 35 + 10/x taking LCM 15x+15/x = 35x+10/x by cross multiplication 35xsquare+10x=15xsquare+15x simplifying further we get x=1/4 ......

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Sarath Ceh
Mar 31, 2014

15+(15 hours)=35+(10 hours) (15 hours)-(10 hours)=35-15 (5*hours)=20 hours=20/5=4 thats all 4 hours is the answer

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Soham Chatterjee
Aug 2, 2014

15x + 35x =15 +10

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Timothy Wong
Apr 23, 2014

Let x x be the number of hours they've worked.

15 + 15 x = 35 + 10 x → 5 x = 20 → x = 4 15+15x=35+10x \rightarrow 5x=20 \rightarrow x=4

Therefore, they both worked for 4 hours .

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Michael Mendrin
Apr 16, 2014

Plug in n = 3, 4, 5, 6 until 15+15n = 36+10n = 75. Who needs algebra?

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Krishna Garg
Apr 16, 2014

Suppose they work for X hrs. For Nogel dollar earned are 15 + 15 X anf for Shawn it is 35 + 10X since both earn equal so 15 + 15X = 35 + 10 X so X = 4 Hrs Ans

K.K.GARG,India

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Ramji Varadarajan
Apr 13, 2014

Excluding the charges of service call for Nigel and Shaun i.e. $15 and $35 we can say that Nigel worked for 4 hrs (Amt. earned=15+15+15+15) and Shaun also works for 4 hrs similarly (Here, amt. earned=10+10+10+10 ). Both earn the same grand total of amt.$75 respectively as they work for equal number of hours with respect to their difference in service call charges.

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Deepak Jain
Apr 10, 2014

15+15x=35+10x => 5x=20 => x=4 hr..

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Wavy Everest
Apr 4, 2014

Different between payment per hour : 15-10 =5

For first hour : A= 30 , B=45

45-30 = 15 = 3（5）

So they worked for 1+3 hours.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

3 10+30 = 3 15+15

Yusuf Lafy - 7 years, 2 months ago

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