Mathematics
Grade-8
Easy

Question

A taxi charges $1 for every mile; the train costs $2 for every 5 miles. The difference between the charge of taxi to charge of the train, for a distance of 50 miles, is

  1. $- 20
  2. $20
  3. $-30
  4. $30

hintHint:

Use cross-multiplication method and differentiate the charge of the train to the taxi in order to obtain the answer.

The correct answer is: $30


    F o r space t h e space t a x i comma
M i l e space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space C h a r g e
space space space 1 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space $ 1
space space 50 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space x

U sin g space c r o s s minus m u l t i p l i c a t i o n space m e t h o d comma
x space equals space fraction numerator 50 space cross times space 1 over denominator 1 end fraction space equals space $ 50

F o r space t h e space t a x i comma
M i l e space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space C h a r g e
space space space 5 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space $ 2
space space 50 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space y

U sin g space c r o s s minus m u l t i p l i c a t i o n space m e t h o d comma
y space equals space fraction numerator 50 space cross times space 2 over denominator 5 end fraction space equals space $ 20

T h e space d i f f e r e n c e space b e t w e e n space t h e space c h a r g e space o f space t a x i space t o space t h e space c h a r g e space o f space t h e space t r a i n space equals space open parentheses x space minus space y close parentheses space equals space open parentheses $ 50 space minus space $ 20 close parentheses space equals space $ 30

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