You visited us 3 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Elimination Method of Finding Solution of a Pair of Linear Equations

A taxi ride c...

Question

A taxi ride costs $$ 3$ plus $$ 2$ for each mile driven. You spend $$ 39$ on a taxi. This can be modeled by the equation $2 m + 3 = 39$ , where $m$ represents the number of miles driven. How long was your taxi ride?

$18 m i$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$21 m i$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$34 m i$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$72 m i$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
$18 m i$

Solve the equation:
$2 m + 3 = 39$
Transfer the constant to the RHS, We get
$2 m = 39 - 3 2 m = 36$
Divide both sides of the equation by $2$ , We get
$m = 18$
Since, $m$ denotes the number of miles, the vehicle drove for $18$ $m i l e s$

Suggest Corrections

Similar questions

Q. The charge for a taxi ride in a certain city is

2

dollars for the first one fifth of a mile and

20

cents for each additional one fifth of a mile. Select from the following expressions, which represents the change, in cents, for a taxi ride of exactly

x

miles, where

x

is a positive integer.

Mrs. Nysa needs to take a taxi to the doctor's clinic. The taxi ride costs ` 15 for the first km and ` 8 for each additional km and part thereof. How much does Mrs. Nysa pay for a 3.8 km taxi ride?

(A) ` 35 (B) ` 28 (C) ` 32 (D) ` 39

A taxi charges a flat rate of Rs. 1.75, plus an additional Rs. 0.65 per mile. If Erica has at most Rs.10 to spend on the cab ride, how far could she travel?

Q. Rob took a taxi to reach a certain destination. The taxi service charges

$ 1 \frac{1}{5}

as a fixed charge for any ride and

$ 1 \frac{3}{5}

per mile with a

25 %

discount on the total cost. How far can Rob travel for

$ 12

Q. A taxi driver charges for a ride at a rate of

2

dollars for the first half mile and

75

cents for each additional half mile. Which of the following expressions represents the total charge, in cents for

p

miles, where

p

is a positive integer?

Join BYJU'S Learning Program

A taxi ride costs $3 plus $2 for each mile driven. You spend $39 on a taxi. This can be modeled by the equation 2m+3=39, where m represents the number of miles driven. How long was your taxi ride?

The correct option is A 18miSolve the equation:2m+3=39Transfer the constant to the RHS, We get2m=39-32m=36Divide both sides of the equation by 2, We getm=18Since, mdenotes the number of miles, the vehicle drove for 18miles

A taxi ride costs $$ 3$ plus $$ 2$ for each mile driven. You spend $$ 39$ on a taxi. This can be modeled by the equation $2 m + 3 = 39$ , where $m$ represents the number of miles driven. How long was your taxi ride?

The correct option is A
$18 m i$

Solve the equation:
$2 m + 3 = 39$
Transfer the constant to the RHS, We get
$2 m = 39 - 3 2 m = 36$
Divide both sides of the equation by $2$ , We get
$m = 18$
Since, $m$ denotes the number of miles, the vehicle drove for $18$ $m i l e s$