Question

A cyclist covers a distance of 26 km in 30 minutes by moving at a speed of ‘x’ kmph for the first 10 minutes, then moving at double the speed for the next 13 minutes 20 secs and then again moving at his original speed for the rest of the journey. What is the value of ‘x’?

• A. 26
• B. 30
• C. 36
• D. 28
• E. None of these

Answer 1

The correct option is C

36

$\frac{x}{6}+2x\times \frac{1}{3}\times \frac{2}{3}+x\left(\frac{30-10-13.33}{60}\right)$= 26

$\Rightarrow \frac{x}{6}+\frac{4x}{9}+\frac{x}{9}=26$

$\Rightarrow \frac{13x}{18}=26$
$\Rightarrow$ x = 36 kmph