India’s No.1 Educational Platform For UPSC,PSC And All Competitive Exam

Download Our App

A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.

1220 km
2224 km
3230 km
4234 km

Answer:- 1

Explanation:-

Solution:

\begin{aligned} \frac{(1 / 2) x}{21} + \frac{(1 / 2) x}{24} = 10 \\ \Rightarrow \frac{x}{21} + \frac{x}{24} = 20 \\ \Rightarrow 15 x = 168 \times 20 \\ \Rightarrow x = (\frac{168 \times 20}{15}) \\ \Rightarrow x = 224 k m \end{aligned}

$\eqalign{ & \frac{{\left( {1/2} \right)x}}{{21}} + \frac{{\left( {1/2} \right)x}}{{24}} = 10 \cr & \Rightarrow \frac{x}{{21}} + \frac{x}{{24}} = 20 \cr & \Rightarrow 15x = 168 \times 20 \cr & \Rightarrow x = \left( {\frac{{168 \times 20}}{{15}}} \right) \cr & \Rightarrow x = 224\,km \cr}$

Workspace Report

Post your Comments

", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

\begin{aligned} \frac{(1 / 2) x}{21} + \frac{(1 / 2) x}{24} = 10 \\ \Rightarrow \frac{x}{21} + \frac{x}{24} = 20 \\ \Rightarrow 15 x = 168 \times 20 \\ \Rightarrow x = (\frac{168 \times 20}{15}) \\ \Rightarrow x = 224 k m \end{aligned}

$\eqalign{ & \frac{{\left( {1/2} \right)x}}{{21}} + \frac{{\left( {1/2} \right)x}}{{24}} = 10 \cr & \Rightarrow \frac{x}{{21}} + \frac{x}{{24}} = 20 \cr & \Rightarrow 15x = 168 \times 20 \cr & \Rightarrow x = \left( {\frac{{168 \times 20}}{{15}}} \right) \cr & \Rightarrow x = 224\,km \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

Test

Classes

E-Book