Question

A person covers a total distance of 44 km in a total time of 40 min by traveling at a speed of x kmph for 8 min, x/3 kmph for the next 12 min and x/2 kmph for the next 20 min. What is the value of x?

Answer 1

Answer:

x= 24

Explanation:

Average speed = Total distance/Total time

$\frac{44 \: km}{40 \: min} = \frac{x + \frac{x}{3} + \frac{x}{2} }{8 +12 + 20 \: min } \\ \frac{44km}{40min} = \frac{ \frac{6x + 2x + 3x}{6} }{40min} \\ 44 = \frac{11x}{6} \\ x = 44 \times \frac{6}{11} \\ x = 4 \times 6 \\ x = 24$